Frege

Frege in Context

Bob Brandom–Fall 2025

Wednesdays at 1pm in 1008 B, Cathedral of Learning


Week 1. August 27, 2025: Introduction

Weekly Materials:

Handout for Week 1

Kite of Ampliativity

Some Quotations and References from Lecture

Video of Week 1

Audio of Week 1

Background Resources for Introduction:

Michael Beaney Frege Reader Introduction, pp. 1-14.

Background Resources for Context:

Alberto Coffa, The Semantic Tradition from Kant to Carnap: To the Vienna Station (1991)

Danielle Macbeth, Realizing Reason (2014)

Passages from Kant’s Logic

Bolzano’s Theory of Science

Week 2. September 3, 2025: Begriffsschrift (1879)

Read:

Begriffsschrift Intro, §§1-12

“Boole’s Logical Calculus and the Concept-Script” (in PW), esp pp. 9-21, 32-39, 46.

Weekly Materials:

Handout for Week 2

Passages from Begriffsschrift

Passages from “Boole’s Logical Calculus and the Concept-Script” [1880-81]

Supplementary:

Danielle Macbeth, Frege’s Logic (2005), Chs 1-3, pp. 1-109).

Background Reading:

P.T. Geach, ‘Ascriptivism’ (1960)

Brandom, “Semantic Inferentialism and Logical Expressivism” (Articulating Reasons, Chapter One)

September 10, 2025: NO CLASS!

Read:

Die Grundlagen der Arithmetik (1884)

Frege

Week 3. September 17, 2025: Grundlagen I (1884).

Concepts and Objects-as-Countables.

Singular terms, sortals, and recognition statements.

Read:

Grundlagen §1-75.

Weekly Materials:

Passages from the Grundlagen

Week 4. September 24, 2025: Grundlagen II (1884).

New Objects from Old Concepts: Abstraction

Read:

Grundlagen §76-109.

Weekly Materials:

Passages from the Grundlagen

Supplementary Reading:

Hale and Wright"The Metaontology of Abstraction" (2009)

Roy Cook “Hume’s Big Brother: Counting Concepts and the Bad Company Objection”

Brandom “Frege’s Technical Concepts” (2002)

Brandom “The Significance of Complex Numbers for Frege’s Philosophy of Mathematics”

Week 5. October 1, 2025: “Function and Concept” (1891), “Concept and Object” (1892), and “What is a Function?” (1904).

Read:

“Function and Concept,” pp. 21-41 and “Concept and Object,” pp. 42-56, and “What is a Function?” pp. 107-116, all in Geach and Black.

October 8, 2025: NO CLASS!

Read:

Danielle Macbeth “Diagrammatic Reasoning” (proof of BgS Theorem 133)

Danielle Macbeth Realizing Reason, selections.

Week 6. October 15, 2025: Sinn und Bedeutung

Read:

“On Sense and Reference” (1892), GB pp. 56-78

“Comments on Sinn und Bedeutung” (1892)

Week 7. October 22, 2025: Bernard Bolzano (1781-1848)

Read:

Bolzano, Theory of Science (Wissenschaftslehre) (1837), selections.

Weekly Materials:

Key Passages from Bolzano’s Wissenschaftslehre

Bernardo Bolzano

Week 8. October 29, 2025: Varieties of Conceptual Novelty.

Kite of Ampliativity

Read:

Week 9. November 5, 2025: Late Philosophy of Logic

Read:

“Logic” (PW 1-8),

“Logic” (Beaney 227-251),

“17 Key Sentences on Logic” (PW 185-196),

“Introduction to Logic” (Beaney 293-298), “A Brief Survey of My Logical Doctrines” (Beaney 299-300),

“What May I Regard as the Result of My Work?” (PW 184),

“My Basic Logical Insights” (Beaney 322-324), “Notes for Ludwig Darmstaedter” (Beaney 362-367).

Week 10. November 12, 2025: Late Essays

Read:

“Thought” (1918) (Beaney 325-345),“Negation” (1918) (Beaney 346-361).

“Logical Generality” (1923) (PW 258-262).

Week 11. November 19, 2025: Grundgesetze der Arithmetik (1893)

Read:

Selections from Grundgesetze

November 26, 2025: NO CLASS. Thanksgiving Holiday!

Read:

Danielle Macbeth, Realizing Reason, selections.

Week 12. December 3, 2025: Conclusion

Frege