Philosophy of mathematics

Platonic realism

Platonic realism is the philosophical position that universals or abstract objects exist objectively and outside of human minds. It is named after the Greek philosopher Plato who applied realism to such universals, which he considered ideal forms. This stance is ambiguously also called Platonic idealism but should not be confused with idealism as presented by philosophers such as George Berkeley: as Platonic abstractions are not spatial, temporal, or mental, they are not compatible with the later idealism's emphasis on mental existence. Plato's Forms include numbers and geometrical figures, making them a theory of mathematical realism; they also include the Form of the Good, making them in addition a theory of ethical realism. Plato expounded his own articulation of realism regarding the existence of universals in his dialogue The Republic and elsewhere, notably in the Phaedo, the Phaedrus, the Meno and the Parmenides. (Wikipedia).

Platonic realism
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Plato: Biography of a Great Thinker

The Greek philosopher Plato was a student of Socrates, and teacher of Aristotle. He wrote on a wide variety of topics including Politics, Aesthetics, Cosmology, and Epistemology. To this day, we refer to “Platonic Love” and “Platonic Ideals.” Plato’s search for knowledge and truth formed t

From playlist It Starts With Literacy

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Plato's Theory of Ideas or Forms

A few clips which provide a pretty good explanation of Plato's Theory of Forms or Ideas. I believe all the clips come from the Multimedia Encyclopedia of the Philosophical Sciences, but I'm not 100% sure, it has been such a long time since I originally put it together on the previous chann

From playlist Socrates & Plato

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PLATO ON: The Allegory of the Cave

Plato made up an enduring story about why philosophy matters based on an allegory about a cave… Please subscribe here: http://tinyurl.com/o28mut7 If you like our films take a look at our shop (we ship worldwide): http://theschooloflife.com/shop/all/ Subscribe to Wisecrack http://youtube.

From playlist WESTERN PHILOSOPHY

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Plato's Theory of Recollection & Forms

A short clip of Myles Burnyeat discussing both Plato's theory of recollection and theory of forms, as well as an important connection between the theories. This is from a 1987 program with Bryan Magee on the Great Philosophers. You can find the full interview and the others in the series h

From playlist Socrates & Plato

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PLATO ON: The Forms

Plato’s theory of the forms is at the centre of his philosophy and teaches us the virtues of thinking about the ideal version of things. If you like our films take a look at our shop (we ship worldwide): http://theschooloflife.com/shop/all/ Brought to you by http://theschooloflife.com P

From playlist WESTERN PHILOSOPHY

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Simon Blackburn - Realism vs. Anti-realism

What are anti-realists and why do they deny objective reality? What we know of the world must come through our senses and be processed by our brains. Both can be unreliable; illusions can fool our senses and illness or injury can disrupt our brains. Therefore, can we ever be sure that anyt

From playlist HowtheLightGetsIn London 2022 Presenters

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Teach Astronomy - Plato

http://www.teachastronomy.com/ Plato was a disciple of Socrates. He founded the world's first university in an olive grove outside Athens in 387 BC. Plato was a hugely influential philosopher. He was a rationalist. He believed that we could conceive of the natural world and the way the

From playlist 02. Ancient Astronomy and Celestial Phenomena

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Are Prime Numbers Made Up? | Infinite Series | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Is math real or simply something made up by mathematicians? You can’t physically touch a number yet using numbers we’re able to build skyscrapers and launch rockets int

From playlist An Infinite Playlist

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William Lane Craig Retrospective V: God and Abstract Objects | Closer To Truth Chats

Analytic philosopher and Christian apologist William Lane Craig talks about God’s absolute sovereignty, self-sufficiency, and how Abstract Objects – forms, numbers, logic – threaten an autonomous God. Craig has authored or edited over thirty books, including God Over All: Divine Aseity and

From playlist Big Questions About God - Closer To Truth - Core Topic

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In this video series, I will make the case for classical theism and for the classical theological tradition more generally. This will, in part, involve a critique of atheism, modern metaphysics, including naturalism, an examination of what a profound atheism would look like, a defense of A

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From playlist Closer To Truth | Season 4

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Socrates

A clip about Socrates doing what he does... #Philosophy #Socrates

From playlist Socrates & Plato

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Is Knowing the most Distinctively Human Capacity? Richard Rorty (1996)

Richard Rorty gives the first talk in a series of lectures at the University of Girona called "Pragmatism as Anti-Authoritarianism". You may also be interested in the following discussion between Rorty, Putnam, & Conant on Truth and Pragmatism: https://youtu.be/MxL0fQcrjzQ #Philosophy #

From playlist Richard Rorty

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Plato's Philosophy - From Socrates to Sartre (1978)

Thelma Z. Lavine delivers a few lectures on Plato as part of a televised lecture series called 'From Socrates to Sartre, A Historical Introduction to Philosophy'. Note, the music has been edited out. 00:00 Shadow & Substance The Republic; the Socratic Method: the Allegory of the Cave - Pl

From playlist Social & Political Philosophy

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From playlist Shorter Clips & Videos - Philosophy Overdose

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2. Don Quixote, Part I: Front Matter and Chapters I-X

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From playlist Cervantes' Don Quixote with Roberto González Echevarría

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David Chalmers - What Exists?

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From playlist Exploring Metaphysics - Closer To Truth - Core Topic

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Symbolism, Depth, & Romanticism (Isaiah Berlin 1965)

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From playlist Social & Political Philosophy

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Does Math Reveal Reality?

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Related pages

George Berkeley | Foundations of mathematics | Patterns in nature | Philosophy of mathematics | Proclus