Tag: philosophy-of-mathematics

206 Was mathematics invented or discovered? 2011-06-07T20:04:17.683

116 Why don't fair coin tosses "add up"? Or... is "gambler's fallacy" really valid? 2015-12-13T19:30:29.940

63 Why is there something instead of nothing? 2011-07-20T11:09:05.410

45 Do numbers exist independently from observers? 2011-06-17T09:33:04.390

45 Is Mathematics always correct? 2012-09-21T05:43:55.257

44 Did Russell understand Gödel's incompleteness theorems? 2012-10-12T05:25:15.530

38 What should philosophers know about math and natural sciences? 2011-06-20T07:55:30.320

38 What are the necessary conditions for an action to be regarded as a free choice? 2011-08-05T12:24:05.103

34 Why is the complex number an integral part of physical reality? 2018-03-15T01:24:31.070

32 How does mathematics work? 2019-07-21T02:16:58.393

31 What are the philosophical implications of Gödel's First Incompleteness Theorem? 2011-06-11T16:21:18.887

31 Is First Order Logic (FOL) the only fundamental logic? 2012-07-19T00:37:05.293

31 How is Gödel's incompleteness theorem interpreted in intuitionistic logic? 2013-06-07T16:30:20.380

27 Isn't the notion that everything will occur in an infinite timeline an example of the gambler's fallacy? 2020-01-30T14:53:00.397

26 What are some works that apply an axiomatic method to something other than mathematics? 2011-06-27T05:55:07.887

25 Is mathematics founded on beliefs and assumptions? 2011-12-10T10:07:39.103

25 What are the philosophical implications of category theory? 2012-02-28T01:09:22.147

24 Is mathematics truth? As in the sense of that which is manifest or possible in reality? 2019-09-01T20:43:33.347

23 What is the difference between a statement and a proposition? 2014-04-22T01:35:50.307

23 Why is Aristotle's objection not considered a resolution to Zeno's paradox? 2015-08-11T22:55:24.713

23 What was Cantor's philosophical reason for accepting the infinite but rejecting the infinitesimal? 2016-03-30T05:15:45.517

23 What would happen if suddenly, 1+1=2 is disproved? 2018-05-28T05:53:47.053

22 What is a straight line? 2016-01-02T16:40:23.007

21 Selection of logical connectives {¬,∨,∧,⇒,⇔} in set theory? 2015-09-07T05:10:37.827

21 What are the foundations of philosophy? 2015-10-28T23:07:13.847

20 Interpret Bayesian probability as frequentist probability? 2013-09-30T05:52:33.907

20 Falsification in Math vs Science 2019-04-09T16:31:56.030

19 To what extent can the invention of zero in India as a number be tied to Buddhist philosophy, if at all? 2012-03-04T22:09:38.410

19 Are numbers real? 2013-10-29T04:42:29.357

19 If there were only one single mathematician in the world, would s/he be able to produce a mathematical proof? 2018-08-12T14:59:13.163

17 Which comes first - truth or provability? 2013-04-25T05:58:50.907

17 Is Mathematics considered a science? 2014-07-24T16:24:34.813

17 Is Logic Empirical? 2016-09-10T05:22:01.640

16 Are mathematical suppositions of physical theories determined uniquely according to Aristotle and Plato? 2014-09-22T16:24:36.730

16 Is geometry mathematical or empirical? 2015-11-28T03:40:46.773

15 Is 'equality' ultimately grounded in empirical observation? 2011-06-07T23:01:31.637

15 Does a Background in Mathematics Make One a Better Philosopher? 2012-07-30T06:35:59.963

15 Do the laws of logic exist independently of human or animal consciousness? 2012-09-12T09:09:41.857

15 What is the philosophical ground for distinguishing logic and mathematics? 2016-05-09T21:01:53.613

14 What is the philosophical status of category theory? 2013-06-10T20:17:22.653

13 What is mathematical existence? 2011-10-08T20:14:37.510

13 How should we characterize the relationship between mathematics and philosophy of mathematics? 2011-10-22T18:29:57.190

13 What is the relation between proof in mathematics and observation in physics? 2015-12-23T10:57:58.557

13 How can we overcome the challenge of the anti statistical philosopher? 2020-10-15T14:51:39.263

12 Does claiming something exists imply that the number 1 exists? 2011-07-24T15:55:36.953

12 Why would Wittgenstein say we can't have a perfect language? 2011-12-16T05:25:19.383

12 "Because if you doubt that you're doubting, you're still doubting" - What is the analogous mathematical/logical expression to this sentence? 2012-05-23T21:21:07.530

12 Quantum Mechanics and Logic 2013-06-19T00:42:42.390

12 What are the differences between Tarski's 1933 and 1956 truth definitions? 2013-08-16T07:25:31.970

12 What are the truth-values of intuitionistic logic? 2014-03-03T10:10:42.460

12 What sources discuss Russell's response to Gödel's incompleteness theorems? 2015-11-03T07:15:28.233

12 What are the major philosophical interpretations of probability? 2015-12-22T23:26:22.830

12 What are computable numbers, and what is their philosophical significance? 2016-04-21T22:12:26.240

12 How come intuitive thinking is related to constructing a proof? 2017-01-01T09:26:26.807

11 What was the impact of the discovery of non-euclidean geometry on Kantian thought? 2013-02-18T06:06:56.020

11 What is the difference between an Ordinal number and a Cardinal number? 2013-03-21T10:21:42.250

11 Why does statistics work? 2013-05-13T21:12:11.823

11 Can mathematics be separated from the physical world? 2013-11-18T23:21:11.547

11 Is there a sheaf-theoretic description of para-consistent logics? 2014-04-22T08:49:56.913

11 How do we know if a mathematical proof is valid? 2014-08-20T08:55:09.053

11 Is a proof still valid if only the author understands it? 2016-11-16T21:25:13.150

11 Was Bishop Berkeley part of the Enlightenment and if so - how did it fit his adherence to religion? 2018-04-29T21:19:19.490

11 What is the difference between depth and surface information? 2019-01-07T14:10:22.053

10 Is Cantor's theorem based on a fallacy? 2011-12-19T00:21:44.573

10 Can one still derive paradoxes from the amended version of Naive Set theory given by Cantor in a letter to Dedekind? 2012-05-09T05:46:02.060

10 Has there been any philosophical investigation into the role of aesthetics in mathematics? 2012-09-28T07:11:15.350

10 In Gödels Incompleteness theorem what is the notion of truth? 2013-06-14T14:27:47.820

10 Is mathematics an art? 2013-10-14T22:17:30.483

10 Does Popper's theory of falsification apply to mathematics? 2013-12-23T03:21:11.683

10 What makes something mathematics? 2015-07-23T16:59:11.080

10 Is a "fair coin toss" a logical contradiction? 2015-12-14T15:39:14.467

10 Hilbert's Sixth Problem: Is Kolmogorov's solution the last word? 2016-02-16T21:58:09.483

10 What does mathematical constructivism gain us philosophically? 2016-05-11T00:56:49.457

10 Validity of mathematical induction 2018-04-05T13:50:41.323

10 How is 0 defined? 2018-04-06T06:12:54.443

10 How do we separate rules of logic from non-logical constraints? 2019-06-26T08:09:14.133

10 Is free will compatible with determinism? (Ramsey theorem) 2020-09-12T03:40:41.317

9 What are the major criticisms of Alain Badiou's claim that mathematics is ontology? 2011-06-11T17:47:11.500

9 A Question Regarding Russell's Paradox 2012-11-22T07:33:28.117

9 "Continental" philosophers who have worked on the Philosophy of Mathematics? 2013-01-26T21:31:08.220

9 Does mathematics always need axioms? 2013-04-16T13:48:32.650

9 Can science work without mathematical formulations? 2013-10-09T08:34:51.440

9 Why don't we have consensus in more complicated areas of logic? 2014-04-25T15:41:11.987

9 Is there any justification for the existence of sets? 2014-05-22T21:29:06.810

9 Difference between math and physics in terms of describing the/a universe? 2014-07-31T22:34:34.773

9 Why isn't Cantor's diagonal argument just a paradox? 2014-08-23T11:18:07.780

9 Should I trust mathematics? 2015-02-16T19:15:35.353

9 How does Russell's argument for identity refute that of Wittgenstein's? 2015-05-29T04:26:44.367

9 What are the properties of Mathematical Objects? 2015-06-02T22:59:05.123

9 What are some introductory books about the philosophy of mathematics? 2015-09-20T19:21:15.287

9 Where did Gödel write that first-order logic is the "true" logic? 2015-09-22T14:27:59.463

9 Is Aristotle's resolution of Zeno's paradoxes vindicated by motion in the intuitionistic continuum? 2015-12-02T08:49:37.833

9 What did Poincaré mean by intuition of pure number? 2015-12-07T17:16:13.950

9 Why do people perceive the randomness of events so poorly? 2015-12-16T03:25:42.733

9 Is mathematics a language? 2016-09-19T05:26:07.807

9 Why were Kant's categories used in the mathematical category theory? 2018-02-18T22:59:45.903

9 What does this Jacques Hadamard quote mean? 2019-04-17T13:44:10.493

8 How do we know how to follow a rule? 2011-11-08T21:11:02.343

8 Can mathematical sentences in different theories be identified? 2012-05-18T18:57:41.333