#PaulDavies - Why the ‘Unreasonable Effectiveness’ of #Mathematics
https://www.youtube.com/watch?v=PmgPoWZTOgo&ab_channel=CloserToTruth
#Philosophy #PhilosophyOfScience #PhilosophyOfMathematics #Math #Maths #Logic #Metaphysics #Physics #EugeneWigner #Wigner #CloserToTruth #RobertKuhn
#RobertKuhn #CloserToTruth #wigner #eugenewigner #physics #metaphysics #logic #maths #math #PhilosophyOfMathematics #philosophyofscience #philosophy #mathematics #PaulDavies
#AlexKontorovich - The #RiemannHypothesis Explained
https://www.youtube.com/watch?v=zlm1aajH6gY&ab_channel=QuantaMagazine
#PhilosophyOfMathematics #Math #Maths #Mathematics #BernhardRiemann #Riemann #Prime #Primes #PrimeNumbers #ComplexNumbers #ImaginaryNumbers #ComplexPlane #QuantaMagazine
#quantamagazine #complexplane #ImaginaryNumbers #complexnumbers #primenumbers #primes #prime #riemann #bernhardriemann #mathematics #maths #math #PhilosophyOfMathematics #riemannhypothesis #alexkontorovich
https://plato.stanford.edu/entries/mathematics-constructive/
Constructive math is distinguished from its traditional counterpart, classical math, by the strict interpretation of the phrase “there exists” as “we can construct”.
1 Intuitionistic Math
"math unfolds itself internally, formalization, although not unacceptable, is unnecessary."(from SEP entry)
2 Recursive Constructive Math
3 Bishop’s Constructive Math
"the building blocks of mathematics were the positive integers"
4 Martin-Löf’s Type Theory
https://philosophy.stackexchange.com/a/87035
"Naive set theory is the theory used historically by G. Frege to show that all mathematics reduces to logic. Type theory was proposed and developed by B. Russell and others to put a restriction on set theory to avoid Russell's paradox...category theory has been offered as an alternative to ZFC as a foundational theory...
... set theory (by way of ZFC) is important to the logicist program, and category theory appeals to structuralists"
"there are two conflicting views: a set is considered either a collection of things (Cantor), or synonymous with a property (attribute, predicate) of things. "
"in addition to logic we rely on this existential creed and the idea of iteration. ... Poincaré has proved right in his defense of mathematical induction as an indispensable and irreducible tool of mathematical reasoning."
-- "Mathematics and Logic", Hermann Weyl
The #SleepingBeautyProblem in #Probability
Are you a 'halfer' or a 'thirder'?
https://www.youtube.com/watch?v=XeSu9fBJ2sI&ab_channel=Veritasium
#Philosophy #PhilosophyOfMath #PhilosophyOfMaths #PhilosophyOfMathematics #Chance #SleepingBeauty
#sleepingbeauty #chance #PhilosophyOfMathematics #philosophyofmaths #philosophyofmath #philosophy #probability #sleepingbeautyproblem
Is #mathematics invented or discovered?
https://www.youtube.com/watch?v=6CVjoOtA5eg&ab_channel=CloserToTruth
#Philosophy #PhilosophyOfMathematics #PhilosophyOfMaths #PhilosophyOfMath #Math #Maths #Idealism #Platonism #Realism #AntiRealism #Materialism #Physicalism #Metaphysics #CloserToTruth #RobertKuhn
#RobertKuhn #CloserToTruth #metaphysics #physicalism #materialism #antirealism #realism #platonism #idealism #maths #math #philosophyofmath #philosophyofmaths #PhilosophyOfMathematics #philosophy #mathematics
#introduction Greetings again (moved from hcommons.social)! I'm an independent philosopher and self-employed translator originally from NYC and living in Saarbrücken, Germany. My present interests include: My family as well as (in random order)
#Spinoza
#Marx
#Freud
#AncientGreekPhilosophy
#EarlyAnalyticPhilosophy
#FrankfurtSchool
#PhilosophyofMathematics
#PhilosophyofScience
#RichardWagner
#Shostakovitch
#ChamberMusic
#Bluegrass
#Bebop
#Literature
#Art
#WeimarRepublic
#Cycling
#Rabbits
#introduction #spinoza #Marx #Freud #AncientGreekPhilosophy #EarlyAnalyticPhilosophy #FrankfurtSchool #PhilosophyOfMathematics #philosophyofscience #RichardWagner #Shostakovitch #chambermusic #bluegrass #bebop #literature #art #WeimarRepublic #cycling #rabbits
Paterson #Primes - with #3Blue1Brown - #Numberphile
https://www.youtube.com/watch?v=jhObLT1Lrfo&ab_channel=Numberphile
#Maths #Math #Mathematics #PhilosophyOfMaths #PhilosophyOfMathematics #PrimeNumbers #Arithmetic
#arithmetic #primenumbers #PhilosophyOfMathematics #philosophyofmaths #mathematics #math #maths #numberphile #3Blue1Brown #primes
Does #math reveal reality? Is math discovered or created?
https://www.youtube.com/watch?v=VN19VOMHxkk&ab_channel=WorldScienceFestival
#Metaphysics #Philosophy #PhilosophyOfMathematics #Maths #Mathematics #Science #Physics #WorldScienceFestival #Platonism #Idealism #Realism
#realism #idealism #platonism #WorldScienceFestival #physics #science #mathematics #maths #PhilosophyOfMathematics #philosophy #metaphysics #math
What's the #probability you live in an odd numbered house?
https://www.youtube.com/watch?v=wydlZ9lcEiQ&ab_channel=singingbanana
#Math #Maths #Mathematics #Arithmetic #Counting #Philosophy #PhilosophyOfMathematics
#PhilosophyOfMathematics #philosophy #counting #arithmetic #mathematics #maths #math #probability