Top Tweets for #PhilMaths
A free excerpt from Lectures on the Philosophy of Mathematics.
The Hilbert Program. https://t.co/21OtH2voxy #InfinitelyMore #PhilMaths
The curvature of Space
A free excerpt from Lectures on the Philosophy of Mathematics #InfinitelyMore #PhilMaths
Please enjoy this excerpt from my book Lectures on the Philosophy of Mathematics on the topic of infinitesimals revisted, exploring diverse issues in nonstandard analysis. #InfinitelyMore #PhilMaths
An extended excerpt from Lectures on the Philosophy of Mathematics, regarding abstraction in the function concept.
https://t.co/zDmMBSL5Nk #InfinitelyMore #PhilMaths
A welcome review of my book, Lectures on the Philosophy of Mathematics, by the Hungry Math Professor. https://t.co/O8ioad5StN #PhilMaths
The indispensability of mathematics
An excerpt from Lectures on the Philosophy of Mathematics—the indispensability argument of Quine/Putnam, Field's response, the philosophy of fictionalism, object theory/metatheory distinction. https://t.co/8E3By6leCn #InfinitelyMore #PhilMaths
The least upper bound principle and continuous induction
A free extended excerpt from Lectures on the Philosophy of Mathematics.
https://t.co/eyrO88y5EZ #InfinitelyMore #PhilMaths
A welcome review of Lectures on the Philosophy of Mathematics on Amazon.
https://t.co/sJHVkCCVJA #PhilMaths
Enjoy this free extended excerpt from my book, Lectures on the Philosophy of Mathematics. I write on approaches to continuity and instantaneous change and the accompanying rise of rigor in the calculus.
https://t.co/BDeoHRyij7 #InfinitelyMore #PhilMaths
Are the imaginary numbers real?
A free extended excerpt from Lectures on the Philosophy of Mathematics on the nature of the complex numbers & exploring how non-rigid structures generally arise in mathematics from rigid ones.
https://t.co/L06ag13DKd #InfinitelyMore #PhilMaths
My publisher has allowed me to make these selections available. Read further in the book itself. https://t.co/jJVzuPTsJm #PhilMaths
What are the real numbers, really?
An excerpt from my book, Lectures on the Philosophy of Mathematics.
https://t.co/CvsiBJzZsO #InfinitelyMore #PhilMaths
https://t.co/jJVzuPTsJm #PhilMaths
Enjoy this free extended excerpt from my book, Lectures on the Philosophy of Mathematics, posted with the encouragement of my publisher. This entry is on the topic of structuralism.
https://t.co/n8pQ0Dccvt #InfinitelyMore #PhilMaths
@andy_m_wood @NehanivCL Yes, I discuss this in chapter 2 of my book, Lectures on the Philosophy of Mathematics. #PhilMaths
@AthelstanJohnCa Find more at #PhilMaths
A free extended excerpt from my book Lectures on the Philosophy of Mathematics, exploring issues arising from our diverse interpretations of arithmetic in other systems—numbers as classes, as sets, as morphisms, as games.
https://t.co/7aydTyuP9u #InfinitelyMore #PhilMaths
A free extended excerpt from my book, Lectures on the Philosophy of Mathematics, an introduction for mathematicians and philosophers, grounded in mathematics. This week we consider Logicism, aiming to found mathematics in logic. https://t.co/0uSGXFkx15 #InfinitelyMore #PhilMaths
Plans are approved and underway for me to start posting free extended excerpts from my books Proof and the Art of Mathematics and Lectures on the Philosophy of Mathematics on my substack Infinitely More. #ProofAndTheArt #PhilMaths #InfinitelyMore
@PeepNSheep1 For that, I would use this figure. (Huntington's theorem that any two complete ordered fields are isomorphic.) From my book, Lectures on the Philosophy of Mathematics. #PhilMaths. https://t.co/o9FILUS8b2
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