21 ideas
20923 | We take part in objective truth, rather than observe it from a distance [Zimmermann,J] |
20926 | Hermeneutic knowledge is not objective, but embraces interpretations [Zimmermann,J] |
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] |
17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
18465 | An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen] |
20924 | In phenomenology, all perception is 'seeing as' [Zimmermann,J] |
20927 | The hermeneutic circle is between the reader's self-understanding, and the world of the text [Zimmermann,J] |
20933 | Natural law theorists fear that without morality, law could be based on efficiency [Zimmermann,J] |
20929 | Traditionally, God dictated the Torah to Moses, unlike the later biblical writings [Zimmermann,J] |