Chapter 6

SomeThing for NoThing

Logic

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Overview

Chapter 6 introduces logic as a philosophical tool — not just a formal system, but a practical skill for clarifying thought and enabling meaningful discourse. Starting from zero (the signifier of nothing), Dr. Bannon traces how signifiers shape our understanding of reality and examines Aristotle's three fundamental rules of logic. The chapter also explores sex and gender as a case study in how signification works — and how it can be used for both liberation and oppression.

Key Concepts

Vocabulary & Glossary

Key Examples & Analogies

Zero as Philosophical Signifier

Brahmagupta invented zero — a symbol that means 'nothing.' But this 'nothing' turns into something the moment it appears in a number system: 10 is very different from 1. Zero is the clearest example of how a signifier can have enormous power while signifying what does not exist.

Sex and Gender as a Case Study

Logic requires clear definitions: is 'sex' binary? The empirical evidence says no — genetic variations like XXY, XYY, etc. exist. Is 'gender' identical to 'sex'? Clearly not, since gender is a social construction that varies across cultures. Aristotle's first rule demands we define these terms carefully before making claims about them.

Exam Prep Questions

  1. What are Aristotle's three rules of logic? State each one clearly.
  2. What does it mean that signifiers are 'made up'? Does this mean they have no power? Explain.
  3. What is the paradox of signification? How can something entirely human-made have eternal-seeming power?
  4. How did Brahmagupta's invention of zero illuminate the philosophical problem of signification?
  5. What is the difference between sex and gender? Why does precision of definition matter here from a logical perspective?

Lecture Transcript

Transcript reproduced verbatim from the video. Click any timestamp to jump to that moment.