Combining Texts

All the ideas for 'fragments/reports', 'Rationality in Action' and 'Set Theory'

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47 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Theory involves accepting conclusions, and so is a special case of practical reason [Searle]
Entailment and validity are relations, but inference is a human activity [Searle]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Rationality is the way we coordinate our intentionality [Searle]
Rationality is built into the intentionality of the mind, and its means of expression [Searle]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Constructibility: V = L (all sets are constructible) [Kunen]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If complex logic requires rules, then so does basic logic [Searle]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In real reasoning semantics gives validity, not syntax [Searle]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Users of 'supervenience' blur its causal and constitutive meanings [Searle]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our beliefs are about things, not propositions (which are the content of the belief) [Searle]
A belief is a commitment to truth [Searle]
We can't understand something as a lie if beliefs aren't commitment to truth [Searle]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
Thinking must involve a self, not just an "it" [Searle]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Reasons can either be facts in the world, or intentional states [Searle]
13. Knowledge Criteria / C. External Justification / 1. External Justification
In the past people had a reason not to smoke, but didn't realise it [Searle]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causes (usually events) are not the same as reasons (which are never events) [Searle]
16. Persons / A. Concept of a Person / 2. Persons as Responsible
Being held responsible for past actions makes no sense without personal identity [Searle]
16. Persons / A. Concept of a Person / 3. Persons as Reasoners
Giving reasons for action requires reference to a self [Searle]
A 'self' must be capable of conscious reasonings about action [Searle]
An intentional, acting, rational being must have a self [Searle]
16. Persons / A. Concept of a Person / 4. Persons as Agents
Action requires a self, even though perception doesn't [Searle]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
Selfs are conscious, enduring, reasonable, active, free, and responsible [Searle]
A self must at least be capable of consciousness [Searle]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The self is neither an experience nor a thing experienced [Searle]
16. Persons / B. Nature of the Self / 5. Self as Associations
The bundle must also have agency in order to act, and a self to act rationally [Searle]
16. Persons / F. Free Will / 4. For Free Will
Free will is most obvious when we choose between several reasons for an action [Searle]
Rational decision making presupposes free will [Searle]
We freely decide whether to make a reason for action effective [Searle]
20. Action / C. Motives for Action / 1. Acting on Desires
Preferences can result from deliberation, not just precede it [Searle]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
We don't accept practical reasoning if the conclusion is unpalatable [Searle]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
The essence of humanity is desire-independent reasons for action [Searle]
Only an internal reason can actually motivate the agent to act [Searle]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
If it is true, you ought to believe it [Searle]
If this is a man, you ought to accept similar things as men [Searle]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
Promises hold because I give myself a reason, not because it is an institution [Searle]
23. Ethics / D. Deontological Ethics / 2. Duty
'Ought' implies that there is a reason to do something [Searle]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]