Peter Gardenfors, “The Geometry of Meaning: Semantics Based on Conceptual Spaces” (MIT Press, 2014)

Peter Gardenfors, “The Geometry of Meaning: Semantics Based on Conceptual Spaces” (MIT Press, 2014)

A conceptual space sounds like a rather nebulous thing, and basing a semantics on conceptual spaces sounds similarly nebulous. In The Geometry of Meaning: Semantics Based on Conceptual Spaces (MIT Press, 2014), Peter Gardenfors demonstrates that this need not be the case. Indeed, his research is directed towards establishing a formal, mathematically-grounded account of semantics, an account which – as expounded here – is nevertheless accessible. In this interview we discuss the essence of this proposal, focusing in particular on its implications for linguistic analysis, but also touching upon its relation to cognitive science and other related fields. The proposal makes testable predictions about the organization of individual linguistic systems, as well as their acquisition (and potentially their evolution over time). Notably, the “single domain constraint” posits that individual lexical items refer to convex regions of single domains. We discuss the significance of this idea as a bridge between linguistics and cognitive science, what would constitute its falsification, and how it can usefully be investigated from a linguistic standpoint. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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Richard Elwes, "Huge Numbers: A Story of Counting Ambitiously, from 4 1/2 to Fish 7" (Basic Books, 2026)

Richard Elwes, "Huge Numbers: A Story of Counting Ambitiously, from 4 1/2 to Fish 7" (Basic Books, 2026)

What if, every time you wanted to write down 1,000,000, you had to draw a picture of a god? And what if that number were the biggest you had a symbol for? If you were doing math in ancient Egypt, th...

22 Touko 1h 7min

Drew M. Dalton, "The Matter of Evil: From Speculative Realism to Ethical Pessimism" (Northwestern UP, 2024)

Drew M. Dalton, "The Matter of Evil: From Speculative Realism to Ethical Pessimism" (Northwestern UP, 2024)

Most of us today would assume that morality and ethics, being value propositions, are questions for inspired leaders, religious creeds, poets—in other words, for the humanities. But what if I told you...

17 Touko 1h 12min

Counter-Revolutionary Puzzles with Guillermo Badia

Counter-Revolutionary Puzzles with Guillermo Badia

In this episode Pat speaks with Dr Guillermo Badia. Dr Guillermo Badia is a philosopher working in logic. His research interests are logic in computer science, semiring-based logics and models of com...

11 Touko 32min

Antony Valentini, "Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics" (Oxford UP, 2026)

Antony Valentini, "Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics" (Oxford UP, 2026)

Based on decades of research, Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics (Oxford UP, 2026) offers a panoramic rethink of quantum physics, with potentially revol...

5 Touko 1h 35min

Raffaele Danna, "The Craft of Indo-Arabic Numerals: How Practical Arithmetic Shaped Commerce and Mathematics in Western Europe, 1200–1600" (Harvard UP, 2026)

Raffaele Danna, "The Craft of Indo-Arabic Numerals: How Practical Arithmetic Shaped Commerce and Mathematics in Western Europe, 1200–1600" (Harvard UP, 2026)

In the thirteenth-century Mediterranean, commerce transformed as merchants shifted from Roman to Indo-Arabic numerals—an alternative that better facilitated complex calculations. It has long been know...

28 Huhti 1h 4min

Antonio Padilla, "Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity" (FSG,2022)

Antonio Padilla, "Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity" (FSG,2022)

A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert E...

15 Helmi 1h 6min

Tom Griffiths, "The Laws of Thought: The Quest for a Mathematical Theory of the Mind" (Henry Holt and Co., 2026)

Tom Griffiths, "The Laws of Thought: The Quest for a Mathematical Theory of the Mind" (Henry Holt and Co., 2026)

The Laws of Thought: The Quest for a Mathematical Theory of the Mind (Henry Holt and Co., 2026) is an exploration of the quest to use mathematics to describe the ways we think, from its origins three...

4 Helmi 1h 8min

Giuseppe Longo and Adam Nocek, "The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI" (U Minnesota Press, 2026)

Giuseppe Longo and Adam Nocek, "The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI" (U Minnesota Press, 2026)

A bold reimagining of life that bridges science, philosophy, cybernetics, and the complexities of biological existence The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI (Giuse...

20 Tammi 1h 13min

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