Identity and discrimination

Identity and discrimination

🎙 Timothy Williamson 👥 1K 📅 November 22, 2021 ⏱ 137 min 👁 220 📄 lecture 🧭 2026-08-17
Available in: English (current) Français

Keywords

identitydiscriminationindiscriminabilitytransitivitylogical construction

Summary

In this lecture, Timothy Williamson discusses the origins and development of his first book, ‘Identity and Discrimination’ (1990). He begins by recounting his early interest in logical constructions, inspired by Russell, Carnap, and Goodman, and his fascination with the non-transitivity of perceptual indiscriminability. He explains how this non-transitivity poses a problem for using indiscriminability as a criterion of identity for perceived qualities, such as colors. He then describes his formal solution: defining identity of perceived quality as a maximal equivalence relation contained within indiscriminability, a construction that requires the Axiom of Choice. He also applies this framework to other philosophical problems, such as personal identity over time, where fission and fusion cases lead to non-transitive continuity relations. Finally, he reflects on the broader implications for the use of mathematical methods in philosophy and connects the discussion to sorites paradoxes and vagueness.

141 words

Critical Evaluation

Value of the Information & Strength of the Argument

The lecture provides valuable insight into the philosophical and technical underpinnings of Williamson’s early work. The argumentation is rigorous and well-structured, clearly explaining the logical problem of non-transitivity and the proposed solution using maximal equivalence relations. Williamson effectively demonstrates the power of formal methods in philosophy, while also acknowledging their limitations and the controversial reliance on the Axiom of Choice. The discussion is historically rich, connecting to key figures and debates in analytic philosophy.

Scientific Rigor, Source Quality, Title Accuracy

The lecture is scientifically rigorous, based on Williamson’s own published book and subsequent research. He explicitly references the works of Russell, Carnap, Goodman, and Ayer, and discusses the formal results he proved. The title accurately reflects the content, which is a retrospective on the book ‘Identity and Discrimination’. The lecture is well-structured and the technical details are presented with clarity, making it accessible to a philosophically informed audience.

157 words

Title / Content Match

The title accurately reflects the content, which focuses on the concept of identity and its relation to discrimination, as developed in Williamson's book.

Quality & Reliability

8/10

Lecture by a leading philosopher, based on his own published work, with rigorous logical argumentation. The content is well-structured and historically grounded, though it represents a personal retrospective rather than a peer-reviewed presentation.

Key Moments

Cited Sources

  • Identity and Discrimination — Williamson's first book, published in 1990, which is the main subject of the lecture.
  • The Structure of Appearance — Nelson Goodman's book, mentioned as an influence on logical constructions.
  • Der logische Aufbau der Welt — Rudolf Carnap's work, mentioned in the context of logical empiricism.
  • The Problems of Philosophy — Bertrand Russell's work, mentioned as an influence.

Concurring Sources

  • Identity and Discrimination — The book itself, which the lecture is based on, provides the detailed arguments and proofs.

Contribution & Novelties

The lecture provides a unique retrospective on the development of Williamson’s early ideas, offering insight into the motivations and technical details behind his book. It highlights the application of formal logic to philosophical problems, particularly the use of maximal equivalence relations and the Axiom of Choice. The discussion also connects these ideas to broader issues in epistemology and metaphysics.

Pour aller plus loin :

  • Epistemic logic — Relevant to the formal framework used to analyze indiscriminability.
  • Sorites paradox — Directly related to the discussion of vagueness and non-transitivity.
  • Axiom of choice — Central to the formal construction discussed in the lecture.
  • Personal identity — Relevant to the application of the framework to fission and fusion cases.

116 words

Radar Profile

The radar profile shows high scores in quality of information, technical level, and reliability, reflecting the depth and rigor of the lecture. The quantity of information is also substantial, though the lecture is more focused on a specific topic. The overall profile indicates a highly informative and technically advanced presentation.

Reliability 8/10

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