Combining Texts

All the ideas for 'fragments/reports', 'Rationality in Action' and 'Logic in Mathematics'

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55 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Entailment and validity are relations, but inference is a human activity [Searle]
Theory involves accepting conclusions, and so is a special case of practical reason [Searle]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Rationality is built into the intentionality of the mind, and its means of expression [Searle]
Rationality is the way we coordinate our intentionality [Searle]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
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 / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In real reasoning semantics gives validity, not syntax [Searle]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Users of 'supervenience' blur its causal and constitutive meanings [Searle]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
A belief is a commitment to truth [Searle]
We can't understand something as a lie if beliefs aren't commitment to truth [Searle]
Our beliefs are about things, not propositions (which are the content of the belief) [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]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
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]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]