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Mathematics is a branch of logic. (Dedekind)

is a challenge to free will, which is entirely unnecessary in determining that twice two is four.

you don't need free will to determine that twice two is four. that's not what i call free will Fyodor Dostoevsky

is a development of thought that had its beginning with the origin of man and culture a million years or so ago. To be sure, little progress was made during hundreds of thousands of years.

Mathematics is a development of thought that had its beginning with the origin of man and culture a million years or so ago. To be sure, little progress was made during hundreds of thousands of years. (Leslie Alvin White, 1900-1975)

is a field involving objects that are neither physical nor mental.

Frege showed that mathematical objects are neither physical nor mental. He labeled them 'abstract objects.' What did he tell us about abstract objects' Only this: They're neither physical nor mental.

is a field that it seems capable of endowing men with something like a new sense.

I have deeply regretted that I did not proceed far enough at least to understand something of the great leading principles of mathematics, for men thus endowed seem to have an extra sense.

is a game played according to certain rules with meaningless marks on paper.

Mathematics is a game played according to certain rules with meaningless markson paper. (Hilbert)

is a mode of being. It is not numerical, but on the contrary, the numerical derives from mathematical thinking.

connected. But the question remains: Is this connection dueto the fact that the mathematical is numerical in character, or, on the contrary, is the numerical something mathematical' (heidegger 'modern science' 251)

is a proof of the existence of an immortal soul, because mathematical theorems are not obtained from experience and so must accompany the soul into existence.

Thus Plato asserts in his dialogue Menon that mathematical structures are independent of experience and even precede it. For Plato, the existence of mathematics was actually a proof of the existence of an immortal soul, because the theorems could not be obtained from experience and so must accompany the soul into existence. The discovery of the theorems is really a recall of what is in one's memory.'

mathematics, n.All

mathematics