20 ideas
10185 | Set theory is the standard background for modern mathematics [Burgess] |
10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
16423 | Conceptual possibilities are metaphysical possibilities we can conceive of [Stalnaker] |
16422 | The necessity of a proposition concerns reality, not our words or concepts [Stalnaker] |
16421 | Critics say there are just an a priori necessary part, and an a posteriori contingent part [Stalnaker] |
16429 | A 'centred' world is an ordered triple of world, individual and time [Stalnaker] |
16428 | Meanings aren't in the head, but that is because they are abstract [Stalnaker] |
16432 | One view says the causal story is built into the description that is the name's content [Stalnaker] |
16430 | Two-D says that a posteriori is primary and contingent, and the necessity is the secondary intension [Stalnaker] |
16431 | In one view, the secondary intension is metasemantic, about how the thinker relates to the content [Stalnaker] |
7602 | In the Bible God changes his mind (repenting of creating humanity, in the Flood) [Armstrong,K] |
7605 | Monotheism introduced intolerance into religious thinking [Armstrong,K] |
7599 | Around 800 BCE teachers superseded gods in India [Armstrong,K] |
7597 | There is virtually no sign of monotheism in the Pentateuch [Armstrong,K] |
7606 | The idea that Jesus was God was only settled in the fourth century [Armstrong,K] |
7596 | Faith is not just belief in propositions, but also putting trust in them [Armstrong,K] |