First Quote Added
April 10, 2026
Latest Quote Added
"If two or more radiometric clocks running at different rates give the same age, this is powerful evidence that the ages are correct."
"Invoking unique, supernatural, or extraordinary causes to explain natural history was to Buffon both unnecessary and unproductive."
"Biblical chronologies are historically important, but their credibility began to erode in the eighteenth and nineteenth centuries when it became apparent to some that it would be more profitable to seek a realistic age for the Earth through observation of nature than through a literal interpretation of parables. Today, scientists and biblical scholars alike agree that science is the proper arena in which to seek the numerical age of the Earth."
"Estimates of the age of the Earth made prior to about 1950, biblical or otherwise, are all wrong, because they were based on methods now known to be invalid."
"I was not overly enthusiastic about appearing in court. The goal of both the courts and science is to discover the truth, but the methods of the two are so different that it is difficult for most scientists to enter the legal arena with any degree of confidence. Finally, there was a natural reluctance, common to most scientists, to spend any time dealing with nonsense; the tenets of âscientificâ creationism are so absurd that it seems most appropriate simply to ignore them."
"We know money is the root of all evil, but it didn't actually stop evil from happening in Cambodia, in fact."
"To truly promote confidence in these vaccines, we must start by acknowledging this history of mistreatment and exploitation of minorities by the medical community and the government. But then we need to explain and demonstrate all that has been done to correct and address these wrongs."
"There is a reason that American Jews overwhelmingly voted against [[Donald Trump|[Donald] Trump]]. These Americans voted their values, which include opposition to racism in all forms, a concern for the poor and the stranger, and a reverence for the rule of law."
"As we saw on Jan. 6, when elected leaders defy the law, they invite their followers to do the same. Chaos reigns, the courts become powerless, and mob rule (directed by an authoritarian leader) prevails. When [Donald] Trump lambastes judges and prosecutors and promises to "weaponize" the Justice Department, judges must maintain a zero-tolerance policy for officials' (and former officials') defiance of laws and court orders and ignore their claims of persecution. Judges should continue to denounce the contempt for courts, the law and truth Republicans routinely display. If courts do not mete out severe consequences for willful disregard of the law and attacks on the legitimacy of the courts, Trump will succeed in ripping up the foundation of our democracy. Judges simply must hold the line."
"But Trump will not stop. He continues to single out Jewish lawmakers (e.g., House Intelligence Committee Chairman Adam B. Schiff (D-Calif.) is "shifty") and his Republican Party routinely invokes Jewish billionaire George Soros as a maniacal force behind progressive Democrats. This is today's Republican Party: a cesspool of right-wing nationalist rhetoric, anti-Semitic tropes that find favor in certain circles (since America is a white, Christian nation in their eyes, Jews are "outsiders"), as well as anti-immigrant screeds and conspiracy theories. They overlap and reinforce one another."
"Surface tension is commonly thought of as a fluid phenomenon; the mere mention of the term brings to mind bugs skimming over water, liquids rising or falling in capillary tubesâand soap films and soap bubbles. But there is in fact a notion of surface tension (which is surface energy per unit surface area) for the interface between any two substances, or even between one substance and a vacuum. This surface energy arises from the fact that atoms (or molecules, or ions) of a given substance have a different environment at the interface between that substance and another than those in the bulk of the substance. (Sometimes even the composition of the surface is different from the bulk; this occurs for instance in soapy water having an interface with air.)"
"Item: Retirement party for Joanne Elliott. One of my (male) colleagues reminisced about seeing Joanne as an attractive young woman in the common room at Princeton surrounded by young men eager to be near her. The comment made me very uncomfortable, since it placed emphasis on her attractiveness in a setting where conversations are often mathematical. If only the men had been clustered around her because they were eager to hear her theorems and conjectures! But at least as the story was related, that was not the case."
"Grain boundaries and surfaces of crystalline materials have a surface free energy which in general depends on the normal direction of the interface relative to the crystal lattice(s). Determining the surface energy minimizing configurations of such interfaces, for a given surface free energy function, is an interesting mathematical problem; it reduces in the case of isotropic (i.e. constant) surface energy to the minimal surface problem. A first step is to classify minimizing cones, since they can arise as tangent cones to minimizing or asymptotically minimizing surfaces. In the isotropic case for two-dimensional surfaces in R^3, the only minimizing cones are planes. For anisotropic surface energy functions, we give here a catalog of 12 types of embedded minimizing cones, and prove that it is a complete catalog among embedded minimizing crystalline cones ..."
"The subject of motion by crystalline curvature is of interest for three quite distinct reasons. One is that some physical surface energies and physical models of crystal growth simply do give rise to such motion. Another is its use as a way to approximate motion of curves by curvature, both for computation and possibly for proving theorems. The third is that this motion simply is interesting and beautiful in its own right, having results that sometimes parallel those for ordinary curvature and sometimes are strikingly different."
"A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies. Such questions are interesting for both mathematical and physical reasons. Methods from the geometric calculus of variations are useful for studying a number of such questions; a survey of some of the results is given."
"When youâre a cartoonist, you sort of have to be, like, sensitive â or maybe openâs a better word â to whatâs going on around you. When youâre an attorney, youâre just like a bulldog with your head down."
"Finally, to prevent the ascendance of a resurgent far right, we need to get past our red hangover and recognize the pros and cons of both liberal democracy and state socialism in an effort to promote a system that gives us the best of both. Like the sudden collapse of communism, the days of liberal democracy may be numbered, and the West could soon face its own equivalent of November 9, 1989. Twentieth-century communism failed because the ideals of communism had been betrayed by the leaders who ruled in its name. When the reforms came, they came too late: ordinary people had already given up on the system. Today, democratically elected leaders too often betray the ideals of democracy and those who are calling for reform may also be too late. Citizens across Europe and the United States have lost faith in the system, and global capitalism's final crisis could be just around the corner. Perhaps in this moment of dramatic rupture, we will have the opportunity to rethink the democratic project and finally do the work necessary to either rescue it from the death grip of neoliberalism, or replace it with a new political ideal that leads us forward to a new stage of human history."
"Without an accompanying welfare state in which social programs funded by a progressive income tax redistribute from the rich to the poor, capitalism can be a deeply unfair system where a small, well-connected elite captures a majority of the wealth and power, and not necessarily through meritocratic processes."
"But the problem for the is that their general premise can be used as the basis for an equally good argument against capitalism, an argument that the so-called losers of economic transition in eastern Europe would be quick to affirm. The US, a country based on a free-market capitalist ideology, has done many horrible things: the , the , the brutal military actions taken to , just to name a few. The British Empire likewise had a great deal of blood on its hands: we might merely mention the and the . This is not mere ââ, because the same intermediate premise necessary to make their anti-communist argument now works against capitalism: Historical point: the US and the UK were based on a capitalist ideology, and did many horrible things. General premise: if any country based on a particular ideology did many horrible things, then that ideology should be rejected. Political conclusion: capitalism should be rejected."
"In addition to the desire for historical exculpation, however, I argue that the current push for commemorations of the victims of communism must be viewed in the context of regional fears of a re-emergent left. In the face of growing economic instability in the Eurozone, as well as massive antiausterity protests on the peripheries of Europe, the âvictims of communismâ narrative may be linked to a public relations effort to link all leftist political ideals to the horrors of Stalinism. Such a rhetorical move seems all the more potent when discursively combined with the idea that there is a moral equivalence between Jewish victims of the Holocaust and East European victims of Stalinism. This third coming of the German Historikerstreit is related to the of global capitalism, and perhaps the elite desire to discredit all political ideologies that threaten the primacy of private property and free markets."
"Since the will attempt to construe any move toward serious as a return of the great mustachioed Soviet monster, it is essential that those fighting to rein in the excesses of capitalism promote a more realistic view of twentieth century , which cannot be reduced to Stalinism. Despite the many shortcomings of really existing socialism, the communist ideal (even in its most undemocratic forms) was based on a humanistic, egalitarian vision of the future, one that may have been corrupted and badly implemented in practice, but which is nevertheless opposed to the racist, xenophobic nationalism of the (ideals that were quite effectively realized during World War II). Furthermore, we have to accept that really existing democracy, especially as experienced in the former countries after 1989, was far from the democratic ideal. Like the example of Americans bringing democracy to the penguins, post-Cold War democratization served as a tool to promote the economic interests of Western elites who stood the most to gain from access to previously inaccessible consumer markets and vast new populations of cheap labor."
"Older citizens of Eastern Europe fondly recall the small comforts and predictability of their life before 1989: free education and healthcare, no fear of unemployment and of not having money to meet basic needs. A joke, told in many East European languages, illustrates this sentiment: In the middle of the night a woman screams and jumps out of bed, eyes filled with terror. Her startled husband watches her rush to the bathroom and open the medicine cabinet. She then dashes to the kitchen and inspects the inside of the refrigerator. Finally, she flings open the window and gazes out onto the street below their apartment. She takes a deep breath and returns to bed. "What's wrong with you?" her husband says. "What happened?" "I had a terrible nightmare," she says. "I dreamed that we had the medicine we needed, that our refrigerator was full of food, and that the streets outside were safe and clean." "How is that a nightmare?" The woman shakes her head and shudders. "I thought the Communists were back in power.""
"Throughout much of the twentieth century, state socialism presented an existential challenge to the worst excesses of the free market. The threat posed by Marxist ideologies forced Western governments to expand social safety nets to protect workers from the unpredictable but inevitable booms and busts of the capitalist economy. After the Berlin Wall fell, many celebrated the triumph of the West, consigning socialist ideas to the dustbin of history. But for all its faults, state socialism provided an important foil for capitalism. It was in response to a global discourse of social and economic rightsâa discourse that appealed not only to the progressive populations of Africa, Asia, and Latin America but also to many men and women in Western Europe and North Americaâthat politicians agreed to improve working conditions for wage laborers as well as create social programs for children, the poor, the elderly, the sick, and the disabled, mitigating exploitation and the growth of income inequality. Although there were important antecedents in the 1980s, once state socialism collapsed, capitalism shook off the constraints of market regulation and income redistribution. Without the looming threat of a rival superpower, the last thirty years of global neoliberalism have witnessed a rapid shriveling of social programs that protect citizens from cyclical instability and financial crises and reduce the vast inequality of economic outcomes between those at the top and bottom of the income distribution."
"Stubborn and perhaps a bit naive, I persisted and spent the late 1990s living and dong research in Eastern Europe, watching firsthand the slow and painful transformation of a state-owned economy into one of unfettered free markets. I observed that women were more likely than men to express a longing for the state socialist past because of the many tangible benefits women lost with the coming of democracy and capitalism. The privatization and liberalization of the economy had disproportionately affected women who lost access to once generous social safety nets that allowed them to more easily combine work and family responsibilities before 1989. Since those early days interviewing chambermaids and receptionists on the Black Sea, I have spent the rest of my career studying the lived experience of state socialism and the effects of postsocialism on ordinary lives in Eastern Europe."
"In the mortality belt of the European former Soviet Union, an aggressive health policy intervention might have prevented tens of thousands of excess deaths, or at least generated a different perception of Western intentions. Instead, Western self-congratulatory triumphalism, the political priority to irreversibly destroy the communist system, and the desire to integrate East European economies into the capitalist world at any cost took precedence."
"Many former socialist citizens, as well as political leaders like Vladimir Putin, believe that the chaos and pain of the transition process was deliberately inflicted by the West on its former enemies, as punishment for the East's long defiance of liberal democratic norms and market freedoms."
"With closest biological affinities outside the Indus Valley to the inhabitants of Tepe Hissar 3 (3000â2000 BC), these biological data can be interpreted to suggest that peoples to the west interacted with those in the Indus Valley during this and the preceding proto-Elamite period and thus may have influenced the development of the Harappan civilization. The second biological discontinuity exists between the inhabitants of Harappa, Chalcolithic Mehrgarh, and post-Harappa Timarghara on one hand and the Early Iron Age inhabitants of Sarai Khola on the other... The Harappan Civilization does indeed represent an indigenous development within the Indus Valley, but this does not indicate isolation extending back to Neolithic times. Rather, this development represents internal continuity for only 2000 years, combined with interactions with the West and specifically with the Iranian Plateau."
"These developments in the biological sciences are o f little interest to our colleagues in other research areas for whom the Aryan presence remains a vital issue. A t best, the skeletal biologist familiar with the record of human remains from South A sia can respond by asking âHow could one recognize an Aryan, living or dead, when the biological criteria for Aryanness are non-existent?â"
"If invasions o f exotic races had taken place by Aryan hordes, we should encounter obvious discontinuities in the prehistoric skeletal record that correspond with a period around 1500 B.C., the proposed time for the disruptive demographic event. Discontinuities are indiÂcated in our skeletal data for early Neolithic populations in Baluchistan and for early Iron A ge populations in the Northwest Frontier region, events too early and too late, respectively, to fit into the classic scenario o f a mid-second m illenÂnium B.C. Aryan invasion."
"The presence o f Indo-European languages in South Asia is a fact. Vedic texts are indisputable sources o f Indian culture history. W hat is not certain is that: 1) specific prehistoric cultures and their geographical regions are identifiÂable as Aryan; and 2) that the human skeletal remains discovered from reputed Aryan burial deposits are distinctive in their possession o f a unique phenotypic pattern marking them apart from non-Aryan skeletal series. What the biological data demonstrate is that no exotic races are apparent from laboratory studies of human remains excavated from any archaeological site, including those accorded Aryan status. All prehistoric human remains recovered thus far from the Indian subcontinent are phenotypically identifiable as ancient South Asians. Further more their biological continuity with living peoples of India, Pakistan, Sri Lanka and the border regions is well established across time and space."
"Affirmations as emphatic as those voiced by the Allchins ensure that the search for the Aryan presence in linguistic and archaeological sources will surÂvive for some time to come. However, biological anthropologists remain unable to lend support to any o f the theories concerning an Aryan biological or demoÂgraphic entity within the contexts o f linguistics and archaeology."
"Our multivariate approach does not define the biological identity of an ancient Aryan population, but it does indicate that the Indus Valley and Gandhära peoples shared a number of craniometric, odontometric and discrete traits that point to a high degree of biological affinity. Evidence of demographic discontiÂnuities is present in our study, but the first occurs between 6000 and 4500 B.C. (a separation between the Neolithic and Chalcolithic populations of Mehrgarh) and the second is after 800 B.C., the discontinuity being between the peoples of Harappa, Chalcolithic Mehrgarh and post-Harappan Timargarha on the one hand and the late Bronze Age and early Iron Age inhabitants of Sarai Khola on the other. In short, there is no evidence o f demographic disruptions in the north western sector o f the subcontinent during and immediately after the decline of the Harappan culture. If Vedic Aryans were a biological entity represented by the skeletons from Timargarha, then their biological features of cranial and denÂtal anatomy were not distinct to a marked degree from what we encountered in the ancient Harappans."
"A recent study by Hemphill, Lukacs and Kennedy (1991) supports the thesis that ancient Gandhärans and Harappans share significant similarities in craniometric, odontometric and discrete trait variables."
"Both Gobineau and Chamberlain transformed the Aryan concept, which had its humble origins in philological research conducted by Jones in Calcutta at the end of the eighteenth century, into the political and racial doctrines of Adolf Hitler's Third Reich."
"[Kenneth A.R. Kennedy reaches similar conclusions from his physical-anthropological data:] âEvidence of demographic discontinuities is present in our study, but the first occurs between 6000 and 4500 BC (a separation of the Neolithic and Chalcolithic populations of Mehrgarh) and the second is after 800 BC, the discontinuity being between the peoples of Harappa, Chalcolithic Mehrgarh and post-Harappan Timargarha on the one hand and the late Bronze Age and early Iron Age inhabitants of Sarai Khola on the other. In short, there is no evidence of demographic disruptions in the northwestern sector of the subcontinent during and immediately after the decline of the Harappan culture. If Vedic Aryans were a biological entity represented by the skeletons from Timargarha, then their biological features of cranial and dental anatomy were not distinct to a marked degree from what we encountered in the ancient Harappans.â"
"How could one recognize an Aryan, living or dead, when the biological criteria for Aryanness are non- existent? (Kennedy 1995: 61)... Biological anthropologists remain unable to lend support to any of the theories concerning an Aryan biological or demographic entity.... What the biological data demonstrate is that no exotic races are apparent from laboratory studies of human remains excavated from any archaeological sites.... All prehistoric human remains recovered thus far from the Indian subcontinent are phenotypically identifiable as ancient South Asians.... In short, there is no evidence of demographic disruptions in the north-western sector of the subcontinent during and immediately after the decline of the Harappan culture. (Kennedy 1995: 60, 54)"
"Our multivariate approach does not define the biological identity of an ancient Aryan population, but it does indicate that the Indus Valley and Gandhara peoples shared a number of craniometric, odontometric and discrete traits that point to a high degree of biological affinity... Evidence of demographic discontinuities is present in our study, but the first occurs between 6000 and 4500 BC (a separation of the Neolithic and Chalcolithic populations of Mehrgarh) and the second is after 800 BC... In short, there is no evidence of demographic disruptions in the northwestern sector of the subcontinent during and immediately after the decline of the Harappan culture. If Vedic Aryans were a biological entity represented by the skeletons from Timargarha, then their biological features of cranial and dental anatomy were not distinct to a marked degree from what we encountered in the ancient Harappans... All prehistoric human remains recovered thus far from the Indian subcontinent are phenotypically identifiable as ancient South Asians."
"[Kennedy also notes the anthropological continuity between the Harappan population and that of the contemporaneous Gandhara (eastern Afghanistan)101 culture, which in an Aryan invasion scenario should be the Indo-Aryan settlement just prior to the Aryan invasion of India:] âOur multivariate approach does not define the biological identity of an ancient Aryan population, but it does indicate that the Indus Valley and Gandhara peoples shared a number of craniometric, odontometric and discrete traits that point to a high degree of biological affinity.â"
"Not only is the skeletal evidence nil, but "if invasions of exotic races had taken place by Aryan hordes, we should encounter obvious discontinuities in the prehistoric skeletal record that correspond with a period around 1500 BC." Whatever discontinuities do occur in the record are either far too late or far too early (Kennedy 1995, 58). These discontinuities were taken from a further study undertaken on the skeletal remains in the Harappan phase "Cemetery R37" (Hemphill et al. 1991). The results of this survey showed two periods of discontinuities: the first occurs during the period between 6000 and 4500 B.C.E. between the Neolithic and Chalcolithic inhabitants of Mehrgarh, and the second at some point before 200 B.C.E. (but after 800 B.C.E.), which is visible in the remains at Sarai Khola (200 B.C.E.). Clearly, neither of these biological discontinuities corresponds with the commonly accepted period for Indo-Aryan intrusions. The Aryans have not been located in the skeletal record."
"[The ancient Harappans] are not markedly different in their skeletal biology from the present-day inhabitants of Northwestern India and Pakistan"... Of the Aryans, we must defer to literary and linguistic scholars in whose province lies the determination of the arrival and nature of the linguistic phenomenon we call the Aryans... But archaeological evidence of Aryan-speaking peoples is questionable and the skeletal evidence is nil."
"K. Kennedy (1984), however, who was able to examine all three hundred skeletons that had been retrieved from the Indus Valley Civilization, found that the ancient Harappans "are not markedly different in their skeletal biology from the present-day inhabitants of Northwestern India and Pakistan" (102). He considers any physical variations in the skeletal record to be perfectly normal for a metropolitan setting and consistent with any urban population past or present (103). As far as he is concerned, the polytypism in the South Asian record represents an "overlap of relatively homogeneous tribal and outcaste groups and their penetration into villages, then into urban environments of more heterogeneous people." There is no need to defer to intruding aliens for any of this: "This dynamic rather than mass migration and invasions of nomadic and warlike peoples better accounts for the biological constitutions of those earlier urban populations in the Indus valley." Here, again, we encounter the same objections raised repeatedly by South Asian archaeologists: "Of the Aryans, we must defer to literary and linguistic scholars in whose province lies the determination of the arrival and nature of the linguistic phenomenon we call the Aryans. . . . But archaeological evidence of Aryan- speaking peoples is questionable and the skeletal evidence is nil" (104)."
"Kennedy also refers to a âbiological continuum [... with] the modern populations of Punjab and Sind,â agreeing in this with earlier skeletal studies by several Indian experts, who had found little difference between Harappan skeletons and present-day populations in those regions (also in Gujarat)."
"No migrations are required to derive the attested IE distribution from a reconstructed homeland consisting of a locus in western central Asia and a range over the steppe and desert. Sometime in the fourth to early third millennium, PIE spread along the steppe and southern trajectories to occupy the entire reconstructed range: the steppe, the desert of wester central Asia, part of the adjacent mountains, and perhaps some of south- west Asia. At this time its distribution was continuous, and that distribution had been achieved not by migration but by expansion."
"Nichols caused a stir in the 1990s by holding out the exciting possibility of a grand theory of language spread and distribution based on a few pieces of linguistic typology. On examining her evidence, however, this began to look increasingly like casuistry. In brief, Nichols views Eurasia as a giant geolinguistic pinball machine, in which any language which happens to wander into what she terms the âlocusâ hits the jackpot and automatically spreads over a huge area. According to her, this has happened several times but the new most favoured language tends to obliterate all traces of the previous most favoured language, unless the latter has managed to expand into a ârefugeâ. As such, according to her, Kartvelian was a previous âmost favoured languageâ which spread into the Caucasus from Central Asia (ibidem), with the complete absence of Kartvelian speakers in Central Asia showing how successfully her spread zone theory works. Conversely, the Pontic Steppes is too far from the locus to be fit for purpose, so that she actually offers no support for Anthonyâs model, but as seen, he is not concerned by such trivial details. Nicholsâ hypothesis per se is an intriguing one, but it has to be backed up with hard evidence and hence a âRussellâs teapotâ theory which assumes as a central postulate that the modus operandi of a model wipes out all of the empirical evidence for itself is deeply suspect."
"This shameless advocacy of cancel culture, moreover for a theory that was long the most accepted one, is an attitude that has gained ground among professional Indo-Europeanists, as I have had to find out many times personally. A consequence is for instance that Joanna Nichols and Claus Peter Zoller have, after Shrikant Talageri pointed out the pro-OIT implications of their findings (that the pattern of lexical borrowing in West-Asian languages from Indo-European indicated that this family came from the east, Bactria or so; c.q. that the Bangani dialect in North India shows a substrate of a kentum Indo-European language similar to the familyâs westernmost branches), declared that their findings remain valid but not these pro-OIT implications. In India, this is being laughed at as an Inquisition-like or Stalinist-like recanting."
"The OIT party can be harsh on its opponents too, but in a different sense: they highlight alleged polemical malpractice. At the ICHR 2018 conference, Daninoâs paper was titled: âFabricating Evidence in Support of the AITâ. Sh. Talageri regularly lambasts âthe joke that is Western Indologyâ, not sparing even the biggest names in detailed critiques. Thus, he makes fun of the âradical damage control measuresâ and âweird about-turnsâ by the AIT party, such as the âStalin-era-likeâ retraction by Johanna Nichols of her plea for an Asian origin of linguistic features in West-Asian languages, attributed to âpeer pressureâ. She had, in her own words, first contributed âa beautiful theory that accounts elegantly for a great deal of the dynamic and linguistic geography of the IE spreadâ which âstill standsâ; but now she disowns the logical conclusion of her own still-standing research, allegedly because it adds evidence for an eastern homeland."
"And academics have come up with theories of their own. For example, Johanna Nichols, a professor of linguistics at the University of California at Berkeley, put forward the so-called Sogdiana hypothesis, which places the Proto-Indo-European speakers to the east of the Caspian Sea, in the area of ancient Bactria-Sogdiana in the fourth or fifth millennium BCE (Nichols 1997, 1999)."
"She holds that the dispersal of the Indo-European languages commenced from a region somewhere in the vicinity of ancient Bactria-Sogdiana, thus bringing the scenario closer to the Indian subcontinent, but not quite there."
"The corollary of Nichols's model is that it portrays the homogeneity of Indo-Iranian and the heterogeneity of the western languages in a new light. The assumed variegation of the western languages is only due to the fact that the later Iranian language had spread and severed the contiguity of the northern and southern Indo-European trajectories (which had previously formed an unbroken continuity around the east coast of the Caspian), thereby making them appear noncontinuous while leaving behind Indo-Iranian and a stranded Tocharian to the east. The variegation of western languages is actually due to their situation on the western periphery of the original locus, or homeland. This model might also address the issue of why Proto-Indo-European did not evolve into more dialects in the putative homeland: the later westward spread of Iranian obliterated all of the eastern parts of the protocontinuum except for Indo-Aryan to its east and the isolated Tocharian to the northeast."
"In Nichols's Bactrian homeland, Proto-Indo-European expands out of its locus, eventually forming two basic trajectories, appearing, on a language map, like two amoebic protuberances bulging out from a protoplasmic origin. The language range initially radiates westward, engulfing the whole area around the Aral Sea from the northern steppe to the Iranian plateau. Upon reaching the Caspian, one trajectory expands around the sea to the north and over the steppes of central Asia to the Black Sea, while the other flows around the southern perimeter and into Anatolia.27 Here we have a model of a continuous distribution of Proto-Indo-Europeanâwhich has been defined as being, in reality, a dialectal continuumâcovering a massive range from where the later historic languages can emerge, without postulating any migrations whatsoever. By the third or second millennium B.C.E. we have the protoforms of Italic, Celtic, and perhaps Germanic in the environs of central Europe (and presumably Balto-Slavic as well), and the protoforms of Greek, Illyrian, Anatolian, and Armenian stretching from northwest Mesopotamia to the southern Balkans (Nichols 1997,134). Proto-Indo-Aryan was spread- ing into the subcontinent proper, while proto-Tocharian remained close to the original homeland in the Northeast."