Combining Texts

All the ideas for 'On the Philosophy of Logic', 'The Problem of the Soul' and 'Cardinality, Counting and Equinumerosity'

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44 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Philosophy needs wisdom about who we are, as well as how we ought to be [Flanagan]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
We resist science partly because it can't provide ethical wisdom [Flanagan]
2. Reason / A. Nature of Reason / 1. On Reason
We reach 'reflective equilibrium' when intuitions and theory completely align [Fisher]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Three-valued logic says excluded middle and non-contradition are not tautologies [Fisher]
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic has many truth values, ranging in fractions from 0 to 1 [Fisher]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is: excluded middle, non-contradiction, contradictions imply all, disjunctive syllogism [Fisher]
5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
Logic formalizes how we should reason, but it shouldn't determine whether we are realists [Fisher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
We could make our intuitions about heaps precise with a million-valued logic [Fisher]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness can involve components (like baldness), or not (like boredom) [Fisher]
10. Modality / B. Possibility / 1. Possibility
We can't explain 'possibility' in terms of 'possible' worlds [Fisher]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
If all truths are implied by a falsehood, then not-p might imply both q and not-q [Fisher]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
In relevance logic, conditionals help information to flow from antecedent to consequent [Fisher]
14. Science / A. Basis of Science / 4. Prediction
Explanation does not entail prediction [Flanagan]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
In the 17th century a collisionlike view of causation made mental causation implausible [Flanagan]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Only you can have your subjective experiences because only you are hooked up to your nervous system [Flanagan]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
We only have a sense of our self as continuous, not as exactly the same [Flanagan]
16. Persons / E. Rejecting the Self / 3. Narrative Self
The self is an abstraction which magnifies important aspects of autobiography [Flanagan]
We are not born with a self; we develop a self through living [Flanagan]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
For Buddhists a fixed self is a morally dangerous illusion [Flanagan]
16. Persons / F. Free Will / 1. Nature of Free Will
Normal free will claims control of what I do, but a stronger view claims control of thought and feeling [Flanagan]
Free will is held to give us a whole list of desirable capacities for living [Flanagan]
16. Persons / F. Free Will / 5. Against Free Will
People believe they have free will that circumvents natural law, but only an incorporeal mind could do this [Flanagan]
We only think of ourselves as having free will because we first thought of God that way [Flanagan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
People largely came to believe in dualism because it made human agents free [Flanagan]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourism notoriously has nothing to say about mental causation [Flanagan]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Cars and bodies obey principles of causation, without us knowing any 'strict laws' about them [Flanagan]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Physicalism doesn't deny that the essence of an experience is more than its neural realiser [Flanagan]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Emotions are usually very apt, rather than being non-rational and fickle [Flanagan]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Intellectualism admires the 'principled actor', non-intellectualism admires the 'good character' [Flanagan]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Cognitivists think morals are discovered by reason [Flanagan]
22. Metaethics / B. Value / 2. Values / a. Normativity
Ethics is the science of the conditions that lead to human flourishing [Flanagan]
29. Religion / A. Polytheistic Religion / 3. Hinduism
The Hindu doctrine of reincarnation only appeared in the eighth century CE [Flanagan]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The idea of the soul gets some support from the scientific belief in essential 'natural kinds' [Flanagan]