56 ideas
15801 | Many philosophers aim to understand metaphysics by studying ourselves [Chisholm] |
15802 | I use variables to show that each item remains the same entity throughout [Chisholm] |
18901 | Truthmakers are facts 'of' a domain, not something 'in' the domain [Sommers] |
18904 | 'Predicable' terms come in charged pairs, with one the negation of the other [Sommers, by Engelbretsen] |
18895 | Logic which maps ordinary reasoning must be transparent, and free of variables [Sommers] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
18897 | Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers] |
18893 | Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers] |
18903 | Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen] |
18894 | Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
15832 | Events are states of affairs that occur at certain places and times [Chisholm] |
18900 | Unfortunately for realists, modern logic cannot say that some fact exists [Sommers] |
15829 | The mark of a state of affairs is that it is capable of being accepted [Chisholm] |
15809 | A state of affairs pertains to a thing if it implies that it has some property [Chisholm] |
15828 | I propose that events and propositions are two types of states of affairs [Chisholm] |
15827 | Some properties, such as 'being a widow', can be seen as 'rooted outside the time they are had' [Chisholm] |
15830 | Some properties can never be had, like being a round square [Chisholm] |
15804 | If some dogs are brown, that entails the properties of 'being brown' and 'being canine' [Chisholm] |
15810 | Maybe we can only individuate things by relating them to ourselves [Chisholm] |
15805 | Being the tallest man is an 'individual concept', but not a haecceity [Chisholm] |
15807 | A haecceity is a property had necessarily, and strictly confined to one entity [Chisholm] |
15814 | A peach is sweet and fuzzy, but it doesn't 'have' those qualities [Chisholm] |
12852 | If x is ever part of y, then y is necessarily such that x is part of y at any time that y exists [Chisholm, by Simons] |
15808 | A traditional individual essence includes all of a thing's necessary characteristics [Chisholm] |
12851 | Intermittence is seen in a toy fort, which is dismantled then rebuilt with the same bricks [Chisholm, by Simons] |
15806 | The property of being identical with me is an individual concept [Chisholm] |
15826 | There is 'loose' identity between things if their properties, or truths about them, might differ [Chisholm] |
15819 | Do sense-data have structure, location, weight, and constituting matter? [Chisholm] |
15816 | 'I feel depressed' is more like 'he runs slowly' than like 'he has a red book' [Chisholm] |
15817 | If we can say a man senses 'redly', why not also 'rectangularly'? [Chisholm] |
15818 | So called 'sense-data' are best seen as 'modifications' of the person experiencing them [Chisholm] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
15831 | Explanations have states of affairs as their objects [Chisholm] |
15811 | I am picked out uniquely by my individual essence, which is 'being identical with myself' [Chisholm] |
15815 | Sartre says the ego is 'opaque'; I prefer to say that it is 'transparent' [Chisholm] |
15813 | People use 'I' to refer to themselves, with the meaning of their own individual essence [Chisholm] |
15803 | Bad theories of the self see it as abstract, or as a bundle, or as a process [Chisholm] |
15821 | Determinism claims that every event has a sufficient causal pre-condition [Chisholm] |
18898 | In standard logic, names are the only way to refer [Sommers] |
15824 | There are mere omissions (through ignorance, perhaps), and people can 'commit an omission' [Chisholm] |
15822 | The concept of physical necessity is basic to both causation, and to the concept of nature [Chisholm] |
15823 | Some propose a distinct 'agent causation', as well as 'event causation' [Chisholm] |
15820 | A 'law of nature' is just something which is physically necessary [Chisholm] |