Mathematical creation

Resonance ◽  
2000 ◽  
Vol 5 (2) ◽  
pp. 85-94 ◽  
Author(s):  
Henri Poincaré
The Monist ◽  
1910 ◽  
Vol 20 (3) ◽  
pp. 321-335 ◽  
Author(s):  
Henri Poincaré ◽  

1968 ◽  
Vol 61 (8) ◽  
pp. 777-778
Author(s):  
Philip Peak

If most people were to be asked whether intuition has a role to play in mathematics, they would give a negative reply. The author of this article has placed intuition in mathematics in what seems to me its proper perspective. He says, “I would go so far as to say that, without it, mathematical creation would well-nigh cease, aud modern methods of teaching would be difficult to justify.”


2012 ◽  
Vol 2 (1) ◽  
Author(s):  
Mark Huber ◽  
Gizem Karaali

The Monist ◽  
1910 ◽  
Vol 20 (4) ◽  
pp. 615-617
Author(s):  
Lucien Arréat ◽  

1948 ◽  
Vol 179 (2) ◽  
pp. 54-57 ◽  
Author(s):  
James R. Newman

2015 ◽  
pp. 383-394 ◽  
Author(s):  
Henri Poincare ◽  
George Bruce Halsted ◽  
Josiah Royce

Author(s):  
Philip A. Ebert ◽  
Marcus Rossberg

We discuss a passage from Grundgesetze der Arithmetik that raises doubts regarding Frege’s attitude towards platonism. First, we motivate a platonist interpretation of Frege’s mature philosophy of mathematics and outline his conception of the aims of definition. We then present the passage which prima facie raises doubts about a platonist interpretation of his logicism. We then survey and discuss readings of this passage by other interpreters. Finally, we present an interpretation that renders the passage compatible with a platonist interpretation of Frege and offers an explanation of Frege’s rather uncharacteristic concessive attitude in the passage.


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