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Questions in Mathematics (141)

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First, is it true that academic philosophers reside in ivory towers? And that their ivory tower is filled with books and greek sculptures? Second, There seems to be an interesting ...

January 18, 2012
1 response
Charles Taliaferro

Typical statements (first order) of the Peano Axioms puzzle me. Neither a mathematician nor logician, I find myself thinking the following: One would hope that arithmetic is consistent with the ...

November 26, 2011
1 response
Richard Heck

We define the empty set as the set that contains no elements, but is there more than one empty set? So is there "an" empty set as opposed to "the" ...

October 20, 2011
1 response
Alexander George

Could there (is it conceivable/possible) be an alternate reality/universe (a rich complex universe) which was such that mathematics could not provide any (or say very little) description of it?

September 1, 2011
1 response
Thomas Pogge

For a long time I have been very concerned with clarifying mathematics, primarily for myself but also because I plan to teach. After decades of reading and questioning and thinking, ...

September 9, 2011
1 response
Richard Heck

Most of our modern conceptions of math defined in terms of a universe in which there are only three dimensions. In some advanced math classes, I have learned to generalize ...

June 25, 2011
1 response
Allen Stairs

Our professor today told us that the expression "7 + 5" is a single entity and a number, just like 12, and not an operation or otherwise importantly different from ...

June 25, 2011
1 response
Allen Stairs

Since programming languages are supposed to be ways to express logical processes, it would seem that they would be of interest to philosophers on some level or another. For example, ...

June 16, 2011
1 response
Richard Heck

Goldbach's conjecture states that every even integer greater than two can be expressed as a sum of two primes. There is no formal proof of this conjecture. However, every even ...

April 20, 2011
1 response
Thomas Pogge

In a right angled isosceles triangle with equal sides of 1 unit and 1 unit, the third side will be sqroot(2) according to Pythagoras theorem. But sqroot(2)= 1.414213562373095... It is ...

April 20, 2011
1 response
Thomas Pogge

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