27 ideas
1489 | Modern philosophy tends to be a theory-constructing extension of science, but there is also problem-solving [Nagel] |
3969 | There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson] |
3972 | Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson] |
13030 | Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen] |
13032 | Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen] |
13033 | Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen] |
13037 | Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen] |
13038 | Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen] |
13034 | Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen] |
13039 | Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen] |
13036 | Choice: ∀A ∃R (R well-orders A) [Kunen] |
13029 | Set Existence: ∃x (x = x) [Kunen] |
13031 | Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen] |
13040 | Constructibility: V = L (all sets are constructible) [Kunen] |
3960 | There are no such things as minds, but people have mental properties [Davidson] |
3964 | If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson] |
3963 | There are no strict psychophysical laws connecting mental and physical events [Davidson] |
3965 | Mental entities do not add to the physical furniture of the world [Davidson] |
3961 | Obviously all mental events are causally related to physical events [Davidson] |
3966 | The correct conclusion is ontological monism combined with conceptual dualism [Davidson] |
3967 | Absence of all rationality would be absence of thought [Davidson] |
3974 | Our meanings are partly fixed by events of which we may be ignorant [Davidson] |
3968 | Propositions explain nothing without an explanation of how sentences manage to name them [Davidson] |
3970 | Thought is only fully developed if we communicate with others [Davidson] |
3971 | There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson] |
3973 | Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson] |
3962 | Cause and effect relations between events must follow strict laws [Davidson] |