Humanizing Mathematics and its Philosophy Essays Celebrating the 90th Birthday of Reuben Hersh /

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Sriraman, Bharath (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • An Interview with Reuben Hersh
  • Nine decades: A photographic passage
  • Pluralism as modeling and as Confusion
  • “Now” has an infinitesimal positive duration
  • Review of How Humans Learn to Think Mathematically: Exploring the three worlds of mathematics.
  • Can You Say What Mathematics Is?
  • The Exact Sciences and Non-Euclidean Logic
  • XENOMATH!
  • Cognitive Networks: Brains, Internet and Civilizations
  • Reuben Hersh on the Growth of Mathematical Knowledge: Kant, Geometry and Number Theory
  • Do Mathematicians have responsibilities?
  • School Mathematics and “Real” Mathematics
  • What is Mathematics and What Should it Be?
  • Humanism about Abstract Objects
  • Can something just happen to be true?
  • The “Artificial Mathematician” Objection: Exploring the (im)possibility of automating mathematical understanding
  • Wittgenstein, Mathematics and the Temporality of Technique
  • Gödel’s Legacy
  • Varieties of Maverick Philosophy of Mathematics
  • Does reason evolve? (Does the reasoning in mathematics evolve?)
  • Mathematical Theories as Models
  • Mathematics for makers and mathematics for users
  • Case Study in Hersh’s Philosophy: Bézout’s Theorem
  • A gift to teachers
  • The Philosophy of Reuben Hersh: a non-technical assessment
  • Friends and Former Comrades
  • On the nature of mathematical entities.