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G.W. Leibniz' s quote (Topic)

``Does Mathematics need any Philosophy ?''

Famous quote from Gottfried Wilhelm (von) Leibniz - both mathematician and philosopher:

A liberal translation from the original in French quoted below is:

  1. Without Mathematics one cannot understand the fundamentals of Philosophy.
  2. Without Philosophy we cannot reach the Foundation of Mathematics.
  3. Without both (Mathematics and Philosophy) one cannot reach anything that is fundamental.
  1. ``Sans les mathématiques on ne pénétre point au fond de la philosophie.
  2. Sans la philosophie on ne pénétre point au fond des mathématiques.
  3. Sans les deux on ne pénétre au fond de rien.''

-by G. W. Leibniz-

Bibliography

Timothy Gowers, ``Does mathematics need a philosophy?'' Plato vs. Formalism, Logicism,... and so on




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See Also: Plato's mathematics, analytics and formal logics in meta-mathematics

Keywords:  mathematics of philosophy ?, and philosophy of matemathics ?
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Cross-references: Foundation of Mathematics, translation
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This is version 6 of G.W. Leibniz' s quote, born on 2008-09-26, modified 2009-01-29.
Object id is 11095, canonical name is GWLeibnizSQuote.
Accessed 509 times total.

Classification:
AMS MSC03B15 (Mathematical logic and foundations :: General logic :: Higher-order logic and type theory)
 03B50 (Mathematical logic and foundations :: General logic :: Many-valued logic)
 03G30 (Mathematical logic and foundations :: Algebraic logic :: Categorical logic, topoi)

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