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Questions in Mathematics (107)

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I guess there is the following difference between ordinal and cardinal numbers: while zero is a cardinal number, there is no ordinal number that corresponds to it: it makes no ...

February 11, 2010
1 response
Jonathan Westphal

How much do you need to know about mathematics to begin learning about the philosophy of mathematics or, for example, read something like The Principles of Mathematics or Principia Mathematica ...

January 28, 2010
1 response
Peter Smith

It seems obvious that a line of length 4 is longer than a line of length 2; but couldn't we just as easily say that the two lines are equally ...

February 11, 2010
1 response
Donald Baxter

When mathematicians make conjectures which they believe to be true but are not yet able to prove, what exactly supports their belief?

November 29, 2009
1 response
Richard Heck

Is this for philosophers, mathematicians, or logicians? But here goes: Given that the decimal places of pi continue to infinity, does this imply that somewhere in the sequence of numbers ...

November 17, 2009
2 responses
William Rapaport and Daniel J. Velleman

How good does one need to be in mathematics to do good work in philosophy of mathematics? Does one need to be able to *do* original math research, or just ...

October 26, 2009
1 response
Peter Smith

I am often confused by the rhetorics of physicists that their theory "came from mathematics". I remember the physicist, Brian greence tell the story of paul dirac discovery of anti-matter ...

September 28, 2009
1 response
Miriam Solomon

Could there be more than a countably infinite number of propositions?

October 3, 2009
2 responses
Jasper Reid and Richard Heck

I have heard that Gödel Proved that Arithmetic cannot be reduced to logic or formal logic. Although I have read explanations which basically state that arithmetic is not complete and ...

September 24, 2009
1 response
Peter Smith

Does infinity exist?

August 11, 2009
1 response
Peter Smith

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