logo
episode-header-image
Sep 2021
43m 50s

Rationalism versus empiricism

Intellectual Mathematics
About this episode
Rationalism says mathematical knowledge comes from within, from pure thought; empiricism that it comes from without, from experience and observation. Rationalism led Kepler to look for divine design in the universe, and Descartes to reduce all mechanical phenomena to contact mechanics and all curves in geometry to instrumental generation. Empiricism led Newt ... Show More
Up next
Jul 2025
Death of Archimedes
Archimedes’s emblematic death makes sense psychologically and embodies a rich historical picture in a single scene. Transcript Archimedes died mouthing back at an enemy soldier: “Don’t disturb my circles.” Or that’s how the story goes. Is this fact or fiction? We have third-hand ... Show More
26m 21s
Dec 2024
Torricelli’s trumpet is not counterintuitive
There is nothing counterintuitive about an infinite shape with finite volume, contrary to the common propaganda version of the calculus trope known as Torricelli’s trumpet. Nor was this result seen as counterintuitive at the time of its discovery in the 17th century, contrary to ... Show More
56m 39s
Nov 2023
Did Copernicus steal ideas from Islamic astronomers?
Copernicus’s planetary models contain elements also found in the works of late medieval Islamic astronomers associated with the Maragha School, including the Tusi couple and Ibn al-Shatir’s models for the Moon and Mercury. On this basis many historians have concluded that Coperni ... Show More
1h 27m
Recommended Episodes
Oct 2022
Ep 158: Knowledge and Ignorance Part 1
Part 1 of a new short series where I am commenting on Karl Popper's lecture "On the sources of knowledge and of ignorance". This paper sets the scene for the link between objective knowledge and fallibilism - refuting, as it does so, the empiricism of the classic British traditio ... Show More
48m 42s
Feb 2010
1.4 From Galileo to Descartes
Part 1.4. Outlines Galileo's revolutionary theories of astronomy and mechanical science and introduces Descartes' (the father of modern philosophy) ideas of philosophical scepticism. 
10m 46s
Dec 2022
Ep 165: Knowledge and Ignorance Part 5
Here we delve more deeply into the ways our senses and our reason might go wrong in the creation of knowledge. There are no authoritative inerrant sources of knowledge and yet we can nonetheless come to knowledge...by creating it. Unusually for ToKCast we take a left turn into vi ... Show More
51m 41s
Oct 2023
Ep 199: David Deutsch’s ”The Fabric of Reality” Chapter 10 ”The Nature of Mathematics” Part 2
The certainty of mathematics and its place in the supposed hierarchy of subjects (assumed to be above science which is itself above philosophy in turn). Some more remarks on Bayesianism and somehow ghosts and alien life. 
50m 29s
May 2015
Episode #057 ... Kant pt. 2 - The Actual Introduction
On this episode of the podcast we continue our discussion of Kant, this time focusing on his contributions to the debate between rationalism and empiricism . We begin by reviewing the major points of contention between the rationalists and empiricists regarding how we arrive at k ... Show More
23m 6s
Jan 2009
Metaphysics and Epistemology
Metaphysics and Epistemology: what exists, what is its nature and how can we acquire knowledge of it? 
1h 30m
Dec 2019
EP55: The Problem Of Empiricism إشكالية التجريبية
tail spinning
1h 18m
Dec 2019
Ep. 231: Descartes's "Discourse" on Wisdom and Certainty (Part One)
<p>On René Descartes's <em>Discourse on Method</em> (1637), an overview of his work that distills his method, outlines his famous <em>Meditations</em>, presents a provisional (Stoic) ethics, and considers whether he wants to be a public intellectual. This is all meant as a prefac ... Show More
39m 55s
Jan 2022
Ep 105: David Deutsch’s “The Fabric of Reality” Chapter 4 “Criteria for Reality” Part 1
In this podcast we cover realism: the common sense claim that there exists an external reality beyond our own minds that we can come to understand through the tools of science and reason more broadly. We compare this to some of the popular rivals that have cropped up over the yea ... Show More
55m 22s