Combining Texts

All the ideas for 'Thinking About Mathematics', 'Contrib to Critique of Hegel's Phil of Right' and 'The Rediscovery of the Mind'

expand these ideas     |    start again     |     specify just one area for these texts


79 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Correspondence to the facts HAS to be the aim of enquiry [Searle]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
7. Existence / C. Structure of Existence / 2. Reduction
Reduction can be of things, properties, ideas or causes [Searle]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Solidity in a piston is integral to its structure, not supervenient [Maslin on Searle]
Is supervenience just causality? [Searle, by Maslin]
7. Existence / D. Theories of Reality / 6. Physicalism
Reality is entirely particles in force fields [Searle]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Some properties depend on components, others on their relations [Searle]
Fully 'emergent' properties contradict our whole theory of causation [Searle]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
Beliefs are part of a network, and also exist against a background [Searle]
Beliefs only make sense as part of a network of other beliefs [Searle]
12. Knowledge Sources / B. Perception / 5. Interpretation
Perception is a function of expectation [Searle]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memory is mainly a guide for current performance [Searle]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
We don't have a "theory" that other people have minds [Searle]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
Other minds are not inferred by analogy, but are our best explanation [Searle]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
We experience unity at an instant and across time [Searle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
The mind experiences space, but it is not experienced as spatial [Searle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Conscious creatures seem able to discriminate better [Searle]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Unconscious thoughts are those capable of causing conscious ones [Searle]
Consciousness results directly from brain processes, not from some intermediary like information [Searle]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Either there is intrinsic intentionality, or everything has it [Searle]
Water flowing downhill can be described as if it had intentionality [Searle]
Intentional phenomena only make sense within a background [Searle]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality is defined in terms of representation [Searle]
Consciousness is essential and basic to intentionality [Searle]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
Pain is not intentional, because it does not represent anything beyond itself [Searle]
16. Persons / C. Self-Awareness / 1. Introspection
Neither introspection nor privileged access makes sense [Searle]
Introspection is just thinking about mental states, not a special sort of vision [Searle]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
I cannot observe my own subjectivity [Searle]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
Mind and brain don't interact if they are the same [Searle]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Without internal content, a zombie's full behaviour couldn't be explained [Searle]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Mental states only relate to behaviour contingently, not necessarily [Searle]
Wanting H2O only differs from wanting water in its mental component [Searle]
17. Mind and Body / C. Functionalism / 1. Functionalism
Functionalists like the externalist causal theory of reference [Searle]
17. Mind and Body / C. Functionalism / 7. Chinese Room
A program for Chinese translation doesn't need to understand Chinese [Searle]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Computation presupposes consciousness [Searle]
If we are computers, who is the user? [Searle]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Consciousness is a brain property as liquidity is a water property [Searle]
Property dualism is the reappearance of Cartesianism [Searle]
Property dualists tend to find the mind-body problem baffling [Searle]
Property dualism denies reductionism [Searle]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Mind and brain are supervenient in respect of cause and effect [Searle]
If mind-brain supervenience isn't causal, this implies epiphenomenalism [Searle]
Mental events can cause even though supervenient, like the solidity of a piston [Searle]
Upwards mental causation makes 'supervenience' irrelevant [Searle]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Consciousness seems indefinable by conditions or categories [Searle]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Can the homunculus fallacy be beaten by recursive decomposition? [Searle]
Searle argues that biology explains consciousness, but physics won't explain biology [Searle, by Kriegel/Williford]
If mind is caused by brain, does this mean mind IS brain? [Searle]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If mind is multiply realisable, it is possible that anything could realise it [Searle]
18. Thought / A. Modes of Thought / 4. Folk Psychology
We don't postulate folk psychology, we experience it [Searle]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Computation isn't a natural phenomenon, it is a way of seeing phenomena [Searle]
18. Thought / C. Content / 1. Content
Content is much more than just sentence meaning [Searle]
18. Thought / C. Content / 6. Broad Content
There is no such thing as 'wide content' [Searle]
18. Thought / C. Content / 7. Narrow Content
We explain behaviour in terms of actual internal representations in the agent [Searle]
19. Language / A. Nature of Meaning / 1. Meaning
Meaning is derived intentionality [Searle]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Philosophy of language is a branch of philosophy of mind [Searle]
19. Language / C. Assigning Meanings / 1. Syntax
Universal grammar doesn't help us explain anything [Searle]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Shared Background makes translation possible, though variation makes it hard [Searle]
22. Metaethics / B. Value / 2. Values / b. Successful function
The function of a heart depends on what we want it to do [Searle]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
The middle class gain freedom through property, but workers can only free all of humanity [Marx, by Singer]
Theory is as much a part of a revolution as material force is [Marx]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Chemistry entirely explains plant behaviour [Searle]
27. Natural Reality / G. Biology / 3. Evolution
Mind involves fighting, fleeing, feeding and fornicating [Searle]
28. God / A. Divine Nature / 4. Divine Contradictions
You can only know the limits of knowledge if you know the other side of the limit [Searle]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is the opium of the people, and real happiness requires its abolition [Marx]