Frege in Context: Grundlagen (1884) II

Frege in Context: Grundlagen (1884) II

Humanities, Social Sciences & Thought Mathematics PBMathematicsPBBPhilosophy of mathematics
🎙 Robert Brandom 👥 6K 📅 December 7, 2025 ⏱ 149 min 👁 324 📄 expert opinion 🧭 2026-08-16
Available in: English (current) Français

Keywords

FregeGrundlagenidentitysortalconceptnumberrecognitionintersubstitutionQuineGeach

Summary

In this seminar, Robert Brandom continues his close reading of Frege’s Grundlagen der Arithmetik (1884). He recaps the paradox of counting and Frege’s solution that counting requires a concept to specify what is being counted. He emphasizes that only sortal kind terms, which provide criteria of identity and individuation, can serve this role. Brandom then explores the nature of identity claims, arguing that they function as intersubstitution licenses, allowing substitution of one singular term for another salva consequentiae. He distinguishes three types of identity claims: intra-sortal, weakly cross-sortal (Linnaean), and strongly cross-sortal. He argues that strongly cross-sortal identities, such as the statue Goliath and the lump of clay Lumple, are not true identities because the sortals involve different criteria of identity and individuation, leading to subjunctive properties that differ. The discussion includes a student question about the formulation of the Linnaean principle, which Brandom addresses by contrasting the relations between kitten/cat and passenger/person. The seminar is highly technical and aimed at philosophy graduate students.

164 words

Critical Evaluation

Value of the Information & Strength of the Argument

The value of the information is high, as it provides a deep and original interpretation of Frege’s philosophy, connecting it to contemporary debates on sortals and identity. Brandom’s argumentation is rigorous and well-structured, building on previous sessions and engaging with potential objections. He uses concrete examples (e.g., Ben Franklin, Goliath and Lumple, passenger/person) to illustrate abstract points, making the argument more accessible. The discussion of intersubstitution licenses and the distinction between Linnaean and non-Linnaean sortal relations is particularly insightful and adds to the philosophical literature on identity.

Scientific Rigor, Source Quality, Title Accuracy

The seminar demonstrates high scientific rigor, with careful attention to textual details and logical consistency. Brandom references Frege’s Grundlagen and Begriffsschrift, as well as works by Quine, Geach, and Gibbard, showing engagement with the relevant literature. The title accurately reflects the content, as it is a session of a seminar on Frege’s Grundlagen. The course materials are available online, providing transparency and allowing for further study. No comments were provided for analysis.

174 words

Title / Content Match

The title accurately reflects the content: a seminar session on Frege's Grundlagen, continuing the discussion from the previous week.

Quality & Reliability

9/10

High-level philosophical seminar by a leading expert, with rigorous argumentation and references to Frege, Quine, Geach, and others. The content is scholarly and well-structured, though it represents a particular interpretive stance.

Key Moments

Cited Sources

Concurring Sources

Contribution & Novelties

This seminar provides a novel interpretation of Frege’s Grundlagen, emphasizing the central role of sortal concepts and identity in understanding objects and counting. Brandom’s distinction between Linnaean and non-Linnaean sortal relations offers a new framework for analyzing cross-sortal identity claims. The discussion of intersubstitution licenses as the conceptual content of identity claims is a significant contribution to the philosophy of language.

Pour aller plus loin :

  • Gottlob Frege — Stanford Encyclopedia of Philosophy entry on Frege, providing background on his philosophy.
  • Sortal — Stanford Encyclopedia of Philosophy entry on sortals, discussing criteria of identity and individuation.
  • Identity (philosophy) — Stanford Encyclopedia of Philosophy entry on identity, covering various aspects of identity and its logic.
  • Peter Geach — Stanford Encyclopedia of Philosophy entry on Geach, who is referenced for his views on sortals and identity.
  • W. V. O. Quine — Stanford Encyclopedia of Philosophy entry on Quine, who introduced the terminology of sortal and mass kind terms.

156 words

Radar Profile

The radar profile shows very high scores in quality of information, technical level, and reliability, with a slightly lower but still high score in quantity of information. This indicates a dense, expert-level seminar with substantial philosophical content, though the amount of information may be overwhelming for non-specialists.

Reliability 9/10