Combining Texts

All the ideas for 'Thinking About Mathematics', 'Mind and Body' and 'Being and Time'

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


67 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Being-in-the-world is projection to possibilities, thrownness among them, and fallenness within them [Heidegger, by Caputo]
Pheomenology seeks things themselves, without empty theories, problems and concepts [Heidegger]
2. Reason / A. Nature of Reason / 2. Logos
'Logos' really means 'making something manifest' [Heidegger, by Polt]
3. Truth / A. Truth Problems / 9. Rejecting Truth
Heidegger says truth is historical, and never absolute [Heidegger, by Polt]
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 / A. Nature of Existence / 3. Being / a. Nature of Being
Reducing being to the study of beings too readily accepts the modern scientific view [Heidegger, by May]
For us, Being is constituted by awareness of other sorts of Being [Heidegger]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Heidegger turns to 'Being' to affirm the uniqueness of humans in the world [Heidegger, by Gray]
Dasein is a mode of Being distinguished by concern for its own Being [Heidegger]
Dasein is ahead of itself in the world, and alongside encountered entities [Heidegger]
In company with others one's Dasein dissolves, and even the others themselves dissolve [Heidegger]
'Dasein' expresses not 'what' the entity is, but its being [Heidegger]
The word 'dasein' is used to mean 'the manner of Being which man possesses', and also the human creature [Heidegger, by Cooper,DE]
'Dasein' is Being which is laid claim to, and which matters to its owner [Heidegger, by Cooper,DE]
Dasein is being which can understand itself, and possess itself in a way allowing authenticity [Heidegger]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Ontology is possible only as phenomenology [Heidegger]
7. Existence / C. Structure of Existence / 2. Reduction
A weaker kind of reductionism than direct translation is the use of 'bridge laws' [Kirk,R]
7. Existence / D. Theories of Reality / 3. Reality
Readiness-to-hand defines things in themselves ontologically [Heidegger]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Heidegger seeks a non-traditional concept of essence as 'essential unfolding' [Heidegger, by Polt]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Propositions don't provide understanding, because the understanding must come first [Heidegger, by Polt]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
If we posit 'I' as the starting point, we miss the mind's phenomenal content [Heidegger]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Our relationship to a hammer strengthens when we use [Heidegger]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
There are no raw sense-data - our experiences are of the sound or colour of something [Heidegger]
12. Knowledge Sources / B. Perception / 5. Interpretation
Perceived objects always appear in a context [Heidegger]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
The scandal of philosophy is expecting to prove reality when the prover's Being is vague [Heidegger]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Having thoughts and feelings need engagement in the world [Heidegger, by Wrathall]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Dasein finds itself already amongst others [Heidegger, by Caputo]
If we work and play with other people, they are bound to be 'Dasein', intelligent agents [Heidegger, by Cooper,DE]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
When Dasein grasps something it exists externally alongside the thing [Heidegger]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Maybe we should see intentionality and consciousness as a single problem, not two [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
If a bird captures a worm, we could say its behaviour is 'about' the worm [Kirk,R]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Behaviourism says intentionality is an external relation; language of thought says it's internal [Kirk,R]
16. Persons / C. Self-Awareness / 2. Knowing the Self
There is an everyday self, and an authentic self, when it is grasped in its own way [Heidegger]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Everyone is other, and no one is himself [Heidegger]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Dualism implies some brain events with no physical cause, and others with no physical effect [Kirk,R]
17. Mind and Body / B. Behaviourism / 1. Behaviourism
Behaviourism seems a good theory for intentional states, but bad for phenomenal ones [Kirk,R]
Behaviourism offers a good alternative to simplistic unitary accounts of mental relationships [Kirk,R]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
In 'holistic' behaviourism we say a mental state is a complex of many dispositions [Kirk,R]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
The inverted spectrum idea is often regarded as an objection to behaviourism [Kirk,R]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
All meaningful psychological statements can be translated into physics [Kirk,R]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Instead of representation by sentences, it can be by a distribution of connectionist strengths [Kirk,R]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If mental states are multiply realisable, they could not be translated into physical terms [Kirk,R]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Moods are more fundamentally revealing than theories - as when fear reveals a threat [Heidegger, by Polt]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
It seems unlikely that most concepts are innate, if a theory must be understood to grasp them [Kirk,R]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
For behaviourists language is just a special kind of behaviour [Kirk,R]
19. Language / B. Reference / 1. Reference theories
Behaviourists doubt whether reference is a single type of relation [Kirk,R]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We do not add value to naked things; its involvement is disclosed in understanding it [Heidegger]
23. Ethics / F. Existentialism / 1. Existentialism
Dasein has the potential to be itself, but must be shown this in the midst of ordinariness [Heidegger]
23. Ethics / F. Existentialism / 3. Angst
Anxiety reveals the possibility and individuality of Dasein [Heidegger]
Anxiety about death frees me to live my own life [Heidegger, by Wrathall]
Anxiety is the uncanniness felt when constantly fleeing from asserting one's own freedom [Heidegger, by Caputo]
23. Ethics / F. Existentialism / 5. Existence-Essence
Being what it is (essentia) must be conceived in terms of Being (existence) [Heidegger]
23. Ethics / F. Existentialism / 6. Authentic Self
Heidegger says we must either choose an inauthentic hero, or choose yourself as hero [Heidegger, by Critchley]