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Articles 1 - 5 of 5
Full-Text Articles in Logic and Foundations of Mathematics
Why Are They Called Real Numbers If They Aren’T Real, And Other Such Questions?, Rahmat Rashid
Why Are They Called Real Numbers If They Aren’T Real, And Other Such Questions?, Rahmat Rashid
Honors Program Theses
This thesis studies the position of mathematical realism (the position that mathematical objects have ontological status) through history, starting with Pythagoras up until W.V.O Quine, and examining how these positions originate from each other. I hope to see how the position has changed and why, and provide an argument against the strongest of the realist positions, drawing on this extensive background. Finally, I advance my own argument against the strongest arguments for mathematical realism, and propose alternatives to a view of mathematical realism.
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Journal of Humanistic Mathematics
Social debates, as well as discussions about certain highly charged issues, such as racism, gender identity, and sexuality, usually turn on the uses or mentions of key words. That is, the conclusions we can draw from such discussions depend on how certain terms are used or mentioned in them. Yet participants in social debates may often fail to precisely define their terms or fail to make important distinctions in terms uttered by others. Both logic and mathematics pay attention to the importance of precise definitions when it comes to engaging in discussions, arguments, or proofs. Logic also makes an important …
Prove It!, Kenny W. Moran
Prove It!, Kenny W. Moran
Journal of Humanistic Mathematics
A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.
A Philosophical Examination Of Proofs In Mathematics, Eric Almeida
A Philosophical Examination Of Proofs In Mathematics, Eric Almeida
Undergraduate Review
No abstract provided.
Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen
Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen
Honors Capstones
Capstone submitted as a graduation requirement for the BSU Honors Program.