Conceptual Analysis

Conceptual Analysis Skill

Master the method of analyzing concepts by seeking necessary and sufficient conditions, testing against counterexamples, and refining definitions.

Overview

What Is Conceptual Analysis?

The method of clarifying concepts by:

1. Proposing conditions for concept application
2. Testing against cases (real and imagined)
3. Refining based on counterexamples
4. Reaching reflective equilibrium

The Goal

Explicit Definition: X is F iff conditions C₁, C₂, C₃...

• Each condition necessary
• Jointly sufficient
• Captures the concept's extension and intension

The Method

Step-by-Step Protocol

CONCEPTUAL ANALYSIS PROTOCOL
════════════════════════════

1. TARGET IDENTIFICATION
   └── What concept are we analyzing?
   └── Clarify the question ("What is knowledge?")

2. INITIAL ANALYSIS
   └── Propose conditions
   └── Draw on clear cases
   └── State: X is F iff C₁, C₂, C₃...

3. COUNTEREXAMPLE TESTING
   └── Try to imagine cases that:
       ├── Satisfy conditions but aren't F
       └── Are F but don't satisfy conditions

4. REVISION
   └── Modify conditions to handle counterexamples
   └── Add, remove, or revise conditions

5. ITERATION
   └── Repeat steps 3-4 until stable

6. REFLECTIVE EQUILIBRIUM
   └── Balance analysis against intuitions
   └── May revise intuitions OR analysis

Types of Counterexamples

Classic Examples

Knowledge (JTB Analysis)

ANALYSIS OF KNOWLEDGE
═════════════════════

INITIAL ANALYSIS:
S knows that P iff:
1. S believes that P
2. P is true
3. S is justified in believing P

GETTIER COUNTEREXAMPLE:
Smith believes "The man who will get the job has 10 coins"
├── Justified (saw Jones counting coins)
├── True (Smith gets job, happens to have 10 coins)
├── But doesn't KNOW (true by luck)
└── Therefore: JTB is too broad

REVISIONS:
├── No false lemmas
├── Sensitivity: Would not believe if false
├── Safety: Could not easily be wrong
├── Virtue: True belief from intellectual virtue
└── Knowledge-first: Abandon analysis

Free Will (Classical Analysis)

ANALYSIS OF FREE ACTION
═══════════════════════

SIMPLE ANALYSIS:
S acts freely iff S could have done otherwise

COUNTEREXAMPLE (Frankfurt):
├── Jones decides to vote for Biden
├── Unknown to Jones, a neuroscientist would intervene
│   if Jones was about to vote Trump
├── But Jones votes Biden on his own
├── Jones couldn't have done otherwise
├── Yet Jones seems to act freely
└── Therefore: PAP (Principle of Alternative Possibilities) fails

REVISIONS:
├── Focus on actual sequence
├── Reasons-responsiveness
├── Source theories (originates in agent)

Art (Definition Attempt)

ANALYSIS OF ART
═══════════════

ATTEMPT 1: Representation
├── Art represents reality
├── Counterexample: Abstract art, pure music
└── Too narrow

ATTEMPT 2: Expression
├── Art expresses emotion
├── Counterexample: Some art is cold, intellectual
└── Too narrow

ATTEMPT 3: Significant Form (Bell)
├── Art has significant form
├── Problem: Circular—what makes form "significant"?
└── Uninformative

ATTEMPT 4: Institutional (Dickie)
├── Art = artifact + conferred artworld status
├── Problem: What's the artworld? Circular?
└── Contested

LESSON: Some concepts may resist analysis

Techniques

Case Method

Generate cases to test the analysis:

1. Clear positive cases: Obviously F
2. Clear negative cases: Obviously not F
3. Borderline cases: Test boundaries
4. Thought experiments: Imaginative cases

Necessary vs. Sufficient Conditions

NECESSARY CONDITIONS
════════════════════
Required for F-ness but may not be enough

"Being unmarried is necessary for being a bachelor"
├── All bachelors are unmarried
├── But not all unmarried people are bachelors
└── Unmarried is necessary, not sufficient

SUFFICIENT CONDITIONS
═════════════════════
Enough for F-ness but may not be required

"Being a square is sufficient for being a rectangle"
├── All squares are rectangles
├── But not all rectangles are squares
└── Square is sufficient, not necessary

BICONDITIONAL
═════════════
Both necessary and sufficient

"X is a bachelor iff X is an unmarried adult male"
├── All and only bachelors satisfy this
└── Captures the concept

Ockham's Razor for Analyses

• Prefer simpler analyses
• Don't multiply conditions unnecessarily
• But don't oversimplify

Challenges to Conceptual Analysis

Family Resemblance (Wittgenstein)

• Some concepts lack common essence
• "Game" — no single defining feature
• Network of overlapping similarities

Open Texture

• Concepts have unforeseen applications
• Cannot anticipate all cases
• Definitions are provisional

Experimental Philosophy

• Intuitions vary across cultures, demographics
• Are armchair intuitions reliable?
• Need empirical investigation

Naturalized Epistemology (Quine)

• No sharp analytic/synthetic distinction
• Conceptual truths are just very central beliefs
• Philosophy continuous with science

Best Practices

Do

• Start with clear cases
• Explain why conditions are chosen
• Consider multiple counterexamples
• Be prepared to revise
• Acknowledge borderline cases

Don't

• Assume first analysis is right
• Ignore stubborn counterexamples
• Add ad hoc conditions to save analysis
• Claim certainty about contested concepts
• Forget that intuitions can be wrong

Output Format

## Conceptual Analysis: [CONCEPT]

### Initial Analysis
X is [CONCEPT] iff:
1. Condition 1
2. Condition 2
3. Condition 3

### Testing
**Clear positive case**: [Example satisfying conditions and being F]
**Clear negative case**: [Example not satisfying conditions, not being F]

### Counterexamples Found
1. [Counterexample 1] — Analysis is too [narrow/broad]
2. [Counterexample 2] — Analysis is too [narrow/broad]

### Revised Analysis
X is [CONCEPT] iff:
1. Revised condition 1
2. Revised condition 2
3. New condition 3

### Assessment
[How confident are we in this analysis?]
[Remaining difficulties?]

Integration with Repository

Related Skills

• argument-mapping: Analyzing argument structure
• logic: Testing logical relations

For Thought Development

Use conceptual analysis to clarify key terms in your philosophical explorations.