24 ideas
10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
16618 | Intellectual and moral states, and even the soul itself, depend on prime matter for their existence [Blasius, by Pasnau] |
20712 | God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B] |
20701 | Can God be good, if he has not maximised goodness? [Davies,B] |
20702 | The goodness of God may be a higher form than the goodness of moral agents [Davies,B] |
20703 | How could God have obligations? What law could possibly impose them? [Davies,B] |
20694 | 'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B] |
20706 | A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B] |
20707 | The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B] |
20708 | If God is an orderly being, he cannot be the explanation of order [Davies,B] |
20710 | Maybe an abnormal state of mind is needed to experience God? [Davies,B] |
20711 | A believer can experience the world as infused with God [Davies,B] |
20709 | The experiences of God are inconsistent, not universal, and untestable [Davies,B] |
20697 | One does not need a full understanding of God in order to speak of God [Davies,B] |
20699 | Paradise would not contain some virtues, such as courage [Davies,B] |