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Question posted on September 2, 2010; 1 response
My mathematics teacher says that a line is an infinite sum of points. I disagree and I think that she must not have thought it through very deeply. I argue that instead that though a line can be theoretically be...
Mathematics Show

Question posted on August 31, 2010; 1 response
I have one question concerning about lines in mathematics. My teacher told me that two lines of different lengths are made up of the same number of points. he told me that if we placed one above the other and...
Mathematics Show

Question posted on August 31, 2010; 1 response
Is there a correct formulation of set theory? For example, it's been proven by Gödel and Paul Cohen that the continuum hypothesis can neither be proven nor disproven in ZFC. Should we take from this that there exists...
Mathematics Show

Question posted on August 31, 2010; no responses
Is the concept of infinite demonstrated anywhere in physical reality? Or is it a purely human construct?...
Mathematics, Physics Show

Question posted on August 19, 2010; 2 responses
Suppose there is an infinitely long ladder in front of me. I do not know that this ladder is infinitely long, only that it is either a very long (but finitely long) ladder, or an infinitely long ladder. What kind...
Mathematics Show

Question posted on August 19, 2010; no responses
Is there a difference between a number as an abstract object and as a metric unit used to measure things? ...
Mathematics Show

Question posted on July 29, 2010; 4 responses
So, it's my understanding that Russell and Whitehead's project of logicism in the Principia Mathematica didn't work out. I understand that two reasons for this are (1) that some of their axioms don't seem to be derivable from pure logic...
Logic, Mathematics Show

Question posted on July 24, 2010; 1 response
I am a new comer to philosophy and metaphysics in particular. I would like to know about the method of analysing and proving statements in metaphysics.Being a student of mathematics I am familiar with the axiomatic method. Are there any...
Mathematics, Philosophy Show

Question posted on July 22, 2010; 2 responses
In ZFC the primitive "membership" usually has the statement "x is an element of the set y". My question is "is the element 'x'" of a set ever not a set within ZFC?...
Mathematics Show

Question posted on June 28, 2010; 1 response
Mathematics is extraordinarily effective in revealing and stating the basic laws of physics. Why is this so? ...
Mathematics, Physics Show

Question posted on June 27, 2010; 1 response
5+5=9 is not an empirical fact. However it can be proven empirically (put 5 objects and four objects together, then count the result). How is it possible for non-empirical facts to be proven empirically? ...
Mathematics Show

Question posted on June 17, 2010; 1 response
Does zero represent nothingness? kal ...
Mathematics Show

Question posted on June 3, 2010; 1 response
What is the relationship between mathematics and logic?...
Logic, Mathematics Show

Question posted on April 15, 2010; 1 response
Even if there was no intelligent life at all in the whole universe, if there were no humans, or other thinking creatures, mathematics would still exist, wouldn't it? Of course no one would ever find out about mathematics' existence, but...
Mathematics Show

Question posted on April 8, 2010; 1 response
I find the notion of fictionalism in mathematics utterly perplexing. From what I understand of it, it seems that fictionalism is the thesis that mathematics is a created fiction, and that there is no mathematical truth separate from the...
Mathematics Show

Question posted on February 11, 2010; 1 response
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 sense to talk about a (or the) "zeroth" something. Curiously...
Mathematics Show

Question posted on February 11, 2010; 1 response
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 made up of an infinite number of points?...
Mathematics, Space Show

Question posted on January 28, 2010; 1 response
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 by Bertrand Russell?...
Mathematics Show

Question posted on November 29, 2009; 1 response
When mathematicians make conjectures which they believe to be true but are not yet able to prove, what exactly supports their belief?...
Mathematics Show

Question posted on November 17, 2009; 2 responses
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 of pi there must be, for instance, a huge (and possibly...
Mathematics Show




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