"My work in the future must be devoted entirely to pure mathematics in its abstract meaning. I shall apply all my stre…"

"Philosophers hasten too much from the analytic to the synthetic method; that is, they draw general conclusions from t…"

"The terms synthesis and analysis are used in mathematics in a more special sense than in logic. In ancient mathematic…"

"The oldest definition of Analysis as opposed to Synthesis is that appended to Euclid XIII. 5. It was possibly framed …"

"Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two n…"

"The Mss. [of Euclid’s Elements] contain a curious addition to XIII. I-5 in the shape of analyses and syntheses for ea…"

"Vieta presented his analytic art as "the new algebra" and took its name from the ancient mathematical method of "anal…"

"Fortunately analysis is not the only way to resolve inner conflicts. Life itself still remains a very effective thera…"

"Analysis and natural philosophy owe their most important discoveries to this fruitful means, which is called inductio…"

"Functions are the bread and butter of modern scientists, statisticians, and economists. Once many repeated... experim…"