Combining Texts

All the ideas for '', 'Model Theory' and 'On Human Nature'

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


24 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models in model theory are structures, not sets of descriptions [Hodges,W]
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
7. Existence / C. Structure of Existence / 3. Levels of Reality
If observation goes up a level, we expect the laws of the lower level to remain in force [Wilson,EO]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
A child first sees objects as distinct, and later as members of groups [Wilson,EO]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Beliefs are really enabling mechanisms for survival [Wilson,EO]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Philosophers study the consequences of ethics instead of its origins [Wilson,EO]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The rules of human decision-making converge and overlap in a 'human nature' [Wilson,EO]
22. Metaethics / B. Value / 2. Values / f. Altruism
We undermine altruism by rewarding it, but we reward it to encourage it [Wilson,EO]
Pure hard-core altruism based on kin selection is the enemy of civilisation [Wilson,EO]
23. Ethics / B. Contract Ethics / 1. Contractarianism
The actor is most convincing who believes that his performance is real [Wilson,EO]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
The only human purpose is that created by our genetic history [Wilson,EO]
27. Natural Reality / G. Biology / 3. Evolution
Cultural evolution is Lamarckian and fast, biological evolution is Darwinian and slow [Wilson,EO]
Over 99 percent of human evolution has been in the hunter-gatherer phase [Wilson,EO]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
It is estimated that mankind has produced 100,000 religions [Wilson,EO]