48 ideas
15477 | Ontology is highly abstract physics, containing placeholders and exclusions [Martin,CB] |
15471 | Truth is a relation between a representation ('bearer') and part of the world ('truthmaker') [Martin,CB] |
17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
17765 | Propositional language can only relate statements as the same or as different [Walicki] |
17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
17754 | Inductive proof depends on the choice of the ordering [Walicki] |
15484 | A property is a combination of a disposition and a quality [Martin,CB] |
15478 | Properties are the respects in which objects resemble, which places them in classes [Martin,CB] |
15483 | Properties are ways particular things are, and so they are tied to the identity of their possessor [Martin,CB] |
15480 | Objects are not bundles of tropes (which are ways things are, not parts of things) [Martin,CB] |
15489 | A property that cannot interact is worse than inert - it isn't there at all [Martin,CB] |
15487 | If unmanifested partnerless dispositions are still real, and are not just qualities, they can explain properties [Martin,CB] |
15479 | Properties endow a ball with qualities, and with powers or dispositions [Martin,CB] |
15488 | Qualities and dispositions are aspects of properties - what it exhibits, and what it does [Martin,CB] |
15469 | Dispositions in action can be destroyed, be recovered, or remain unchanged [Martin,CB] |
15467 | Powers depend on circumstances, so can't be given a conditional analysis [Martin,CB] |
15466 | 'The wire is live' can't be analysed as a conditional, because a wire can change its powers [Martin,CB] |
15476 | Structural properties involve dispositionality, so cannot be used to explain it [Martin,CB] |
15465 | Structures don't explain dispositions, because they consist of dispositions [Martin,CB] |
15481 | I favour the idea of a substratum for properties; spacetime seems to be just a bearer of properties [Martin,CB] |
15474 | Properly understood, wholes do no more causal work than their parts [Martin,CB] |
15486 | Only abstract things can have specific and full identity specifications [Martin,CB] |
15475 | The concept of 'identity' must allow for some changes in properties or parts [Martin,CB] |
17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
15472 | It is pointless to say possible worlds are truthmakers, and then deny that possible worlds exist [Martin,CB] |
15492 | Explanations are mind-dependent, theory-laden, and interest-relative [Martin,CB] |
15495 | Analogy works, as when we eat food which others seem to be relishing [Martin,CB] |
15493 | Memory requires abstraction, as reminders of what cannot be fully remembered [Martin,CB] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
15485 | Instead of a cause followed by an effect, we have dispositions in reciprocal manifestation [Martin,CB] |
15491 | Causation should be explained in terms of dispositions and manifestations [Martin,CB] |
15468 | Causal counterfactuals are just clumsy linguistic attempts to indicate dispositions [Martin,CB] |
15470 | Causal laws are summaries of powers [Martin,CB] |
15482 | We can't think of space-time as empty and propertyless, and it seems to be a substratum [Martin,CB] |