Study sheet: Reason and Empirical Science

📋 Course Outline

1. Relative and Absolute Statements
2. Reason, Rationality, and Demonstration
3. Limits of Demonstrative Reasoning
4. Reason as a Source of Error
5. Discussion Against Solitary Reason
6. Empirical Science and Causality

📖 1. Relative and Absolute Statements

🔑 Key Concepts & Definitions

• Relative statement : depends on the context of utterance, such as the date indicated by “today.”
• Absolute statement : does not depend on the context of utterance, as in “Thursday 10 September 2026.”

💡 Memory Hook

Relative depends on context; absolute does not.

📖 2. Reason, Rationality, and Demonstration

🔑 Key Concepts & Definitions

• Reason : our capacity to reason.
• Rationality : acting according to logical reasons rather than reacting to feelings and showing moderation.
• Demonstration : a valid reasoning process in which the conclusion necessarily follows from the premises.

★ Must-know

📌 A reason can be a cause that triggers a phenomenon or explains an event, or it can be the end or objective that justifies a behavior.

Further detail

• In Euclid’s Property 32, the sum of the angles of a triangle is 180°.

💡 Memory Hook

Reasons explain or justify behavior; demonstrations make conclusions necessary.

📖 3. Limits of Demonstrative Reasoning

★ Must-know

📌 Several incompatible logical systems can exist because they may use different premises, and validity is too strong a condition for most ordinary reasoning.

📌 Not all premises can be demonstrated, because reasoning eventually reaches fundamental principles or axioms.

• A demonstration produces a universal result, meaning that it is valid everywhere, and a necessary result, meaning that it forces the agreement of anyone who accepts the premises.

Further detail

• An explorer who travels 500 km south, 500 km east, then 500 km north and returns to the starting point is accompanied by a white bear.

💡 Memory Hook

A white bear returning to its starting point after a three-direction journey.

📖 4. Reason as a Source of Error

★ Must-know

• People are influenced by a set of causes they do not know, and these causes can trigger their behavior rather than their conscious purposes.

• Spinoza writes in the Ethics that people believe themselves free because they are conscious of their desires but ignorant of the causes that determine them.

• Because of confirmation bias, reason tends to rationalize prejudices by distorting facts so that they support an initial intuition.

Further detail

• In the Dreyfus affair, the claim that Dreyfus had intentionally imitated his own handwriting by deliberately making mistakes illustrates the distortion of facts to fit an intuition.

• The foot-in-the-door technique begins with a small request and then makes the larger request one wants to obtain.

💡 Memory Hook

Confirmation bias → rationalized prejudice and distorted facts.

📖 5. Discussion Against Solitary Reason

★ Must-know

📌 A debate aims to defeat an opposing point of view, whereas a discussion aims to reach agreement and understand the other person’s point of view.

• Hugo Mercier and Dan Sperber argue in The Enigma of Reason that reason is much more effective in dialogue than in solitary reflection.

Further detail

📌 Debate positions are antagonistic and organized as for or against, whereas discussion positions can change.

📌 Debate carries a high risk of polarization and of creating an artificial social environment, whereas discussion carries a low risk of both.

💡 Memory Hook

Debate seeks victory; discussion seeks agreement and understanding.

📖 6. Empirical Science and Causality

🔑 Key Concepts & Definitions

• Hypothesis : a proposed explanation for a phenomenon and always implies consequences that can be tested.
• Correlation : a relationship between two variables whose values vary according to the same pattern.
• Causality : a relationship in which a cause produces an effect and is anterior or simultaneous to it.

📝 Essential Points

📌 A truth of reason is distinct from a truth of fact, and formal sciences such as mathematics, computer science, and logic are distinct from empirical sciences based on experiments.

• The empirical method tests a hypothesis by varying a factor, observing whether the number of sick people decreases, and keeping or replacing the hypothesis according to the result.

💡 Memory Hook

Hypothesis → variable tested → observed result → confirmation or replacement.

📊 Synthesis Tables

Debate and Discussion

Dimension	Debate	Discussion
Objective	Defeat the opposing viewpoint	Reach agreement and understand the other viewpoint
Positions	Antagonistic: for or against	Potentially changing
Risk	High polarization and artificial environment	Low polarization and artificial environment