Combining Texts

All the ideas for 'On the Ultimate Origination of Things', 'Concepts' and 'Regressive Method for Premises in Mathematics'

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


42 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom involves the desire to achieve perfection [Leibniz]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Naturalistic philosophers oppose analysis, preferring explanation to a priori intuition [Margolis/Laurence]
2. Reason / A. Nature of Reason / 6. Coherence
If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Non-contradiction was learned from instances, and then found to be indubitable [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Which premises are ultimate varies with context [Russell]
The sources of a proof are the reasons why we believe its conclusion [Russell]
Finding the axioms may be the only route to some new results [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Arithmetic was probably inferred from relationships between physical objects [Russell]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette]
There must be a straining towards existence in the essence of all possible things [Leibniz]
Because something does exist, there must be a drive in possible things towards existence [Leibniz]
10. Modality / A. Necessity / 7. Natural Necessity
The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Modern empiricism tends to emphasise psychological connections, not semantic relations [Margolis/Laurence]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Believing a whole science is more than believing each of its propositions [Russell]
14. Science / C. Induction / 2. Aims of Induction
Induction is inferring premises from consequences [Russell]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Body-type seems to affect a mind's cognition and conceptual scheme [Margolis/Laurence]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Language of thought has subject/predicate form and includes logical devices [Margolis/Laurence]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are either representations, or abilities, or Fregean senses [Margolis/Laurence]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
A computer may have propositional attitudes without representations [Margolis/Laurence]
Do mental representations just lead to a vicious regress of explanations [Margolis/Laurence]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Maybe the concept CAT is just the ability to discriminate and infer about cats [Margolis/Laurence]
The abilities view cannot explain the productivity of thought, or mental processes [Margolis/Laurence]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Concept-structure explains typicality, categories, development, reference and composition [Margolis/Laurence]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Classically, concepts give necessary and sufficient conditions for falling under them [Margolis/Laurence]
Typicality challenges the classical view; we see better fruit-prototypes in apples than in plums [Margolis/Laurence]
The classical theory explains acquisition, categorization and reference [Margolis/Laurence]
It may be that our concepts (such as 'knowledge') have no definitional structure [Margolis/Laurence]
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
The prototype theory is probabilistic, picking something out if it has sufficient of the properties [Margolis/Laurence]
Prototype theory categorises by computing the number of shared constituents [Margolis/Laurence]
People don't just categorise by apparent similarities [Margolis/Laurence]
Complex concepts have emergent properties not in the ingredient prototypes [Margolis/Laurence]
Many complex concepts obviously have no prototype [Margolis/Laurence]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
The theory theory of concepts says they are parts of theories, defined by their roles [Margolis/Laurence]
The theory theory is holistic, so how can people have identical concepts? [Margolis/Laurence]
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
Maybe concepts have no structure, and determined by relations to the world, not to other concepts [Margolis/Laurence]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
People can formulate new concepts which are only named later [Margolis/Laurence]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The principle of determination in things obtains the greatest effect with the least effort [Leibniz]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The law of gravity has many consequences beyond its grounding observations [Russell]