"Life is a magic garden. With wondrous softly shining flowers, but between the flowers there are the little gnomes, th…"

"The viewpoint of the formalist must lead to the conviction that if other symbolic formulas should be substituted for …"

"Mathematics is independent of logic. ...Where mathematical objects are given by their relations to the ...parts of a …"

"The words of... mathematical demonstration merely accompany a mathematical construction that is effected without word…"

"Logic depends upon mathematics. ...[I]ntuitive logical reasoning ...remains if ...one restricts oneself to relations …"

"With which mathematical notions a spoken or written symbol will be made to correspond... will... differ according to …"

"[I]t is easily conceivable that, given the same organization of the human intellect and... the same mathematics, a di…"

"Man, inclined to... a mathematical view.., has... applied this bias to mathematical language, and in former centuries…"

"[T]he proposition: A function is either differentiable or not differentiable. says nothing; it expresses the same as.…"

"[T]he idea that by... such linguistic structures we can obtain knowledge of mathematics apart from that... constructe…"