92 ideas
19359 | Leibniz aims to give coherent rational support for empiricism [Leibniz, by Perkins] |
13086 | Metaphysics is a science of the intelligible nature of being [Leibniz, by Cover/O'Leary-Hawthorne] |
16710 | Leibniz tried to combine mechanistic physics with scholastic metaphysics [Leibniz, by Pasnau] |
16897 | Reason is the faculty for grasping apriori necessary truths [Leibniz, by Burge] |
3346 | For Leibniz rationality is based on non-contradiction and the principle of sufficient reason [Leibniz, by Benardete,JA] |
3347 | Leibniz said the principle of sufficient reason is synthetic a priori, since its denial is not illogical [Leibniz, by Benardete,JA] |
8627 | Leibniz is inclined to regard all truths as provable [Leibniz, by Frege] |
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
6298 | Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik] |
12392 | Mathematical a priorism is conceptualist, constructivist or realist [Kitcher] |
18078 | The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher] |
12426 | The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher] |
12395 | Real numbers stand to measurement as natural numbers stand to counting [Kitcher] |
12425 | Complex numbers were only accepted when a geometrical model for them was found [Kitcher] |
9147 | Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz] |
18071 | A one-operation is the segregation of a single object [Kitcher] |
18066 | The old view is that mathematics is useful in the world because it describes the world [Kitcher] |
19375 | The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R] |
18080 | A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz] |
18083 | With infinitesimals, you divide by the time, then set the time to zero [Kitcher] |
18081 | Nature uses the infinite everywhere [Leibniz] |
12393 | Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher] |
18061 | Mathematical intuition is not the type platonism needs [Kitcher] |
12420 | If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher] |
12387 | Mathematical knowledge arises from basic perception [Kitcher] |
12412 | My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher] |
18065 | We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher] |
18077 | The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher] |
12423 | Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher] |
18068 | Arithmetic is made true by the world, but is also made true by our constructions [Kitcher] |
18069 | Arithmetic is an idealizing theory [Kitcher] |
18070 | We develop a language for correlations, and use it to perform higher level operations [Kitcher] |
18072 | Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher] |
18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
7565 | Leibniz proposes monads, since there must be basic things, which are immaterial in order to have unity [Leibniz, by Jolley] |
10419 | If relations can be reduced to, or supervene on, monadic properties of relata, they are not real [Leibniz, by Swoyer] |
13078 | Relations aren't in any monad, so they are distributed, so they are not real [Leibniz] |
12713 | Forms have sensation and appetite, the latter being the ability to act on other bodies [Leibniz, by Garber] |
13087 | The essence of a thing is its real possibilities [Leibniz, by Cover/O'Leary-Hawthorne] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
12701 | Leibniz moved from individuation by whole entity to individuation by substantial form [Leibniz, by Garber] |
13105 | The laws-of-the-series plays a haecceitist role [Leibniz, by Cover/O'Leary-Hawthorne] |
16513 | Identity of a substance is the law of its persistence [Leibniz] |
12035 | Leibniz bases pure primitive entities on conjunctions of qualitative properties [Leibniz, by Adams,RM] |
13091 | Leibnizian substances add concept, law, force, form and soul [Leibniz, by Cover/O'Leary-Hawthorne] |
7561 | Substances are essentially active [Leibniz, by Jolley] |
12715 | Leibniz strengthened hylomorphism by connecting it to force in physics [Leibniz, by Garber] |
11878 | Leibniz's view (that all properties are essential) is extreme essentialism, not its denial [Leibniz, by Mackie,P] |
11862 | Leibniz was not an essentialist [Leibniz, by Wiggins] |
16504 | Two eggs can't be identical, because the same truths can't apply to both of them [Leibniz] |
8650 | Things are the same if one can be substituted for the other without loss of truth [Leibniz] |
13828 | Necessary truths are those provable from identities by pure logic in finite steps [Leibniz, by Hacking] |
13084 | How can things be incompatible, if all positive terms seem to be compatible? [Leibniz] |
4307 | A reason must be given why contingent beings should exist rather than not exist [Leibniz] |
15883 | Leibniz narrows down God's options to one, by non-contradiction, sufficient reason, indiscernibles, compossibility [Leibniz, by Harré] |
18822 | Each monad expresses all its compatible monads; a possible world is the resulting equivalence class [Leibniz, by Rumfitt] |
7837 | Leibniz proposed possible worlds, because they might be evil, where God would not create evil things [Leibniz, by Stewart,M] |
13080 | Leibniz has a counterpart view of de re counterfactuals [Leibniz, by Cover/O'Leary-Hawthorne] |
19332 | For Leibniz, divine understanding grasps every conceivable possibility [Leibniz, by Perkins] |
2614 | Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer] |
5509 | Leibniz said dualism of mind and body is illusion, and there is only mind [Leibniz, by Martin/Barresi] |
7568 | Leibniz is an idealist insofar as the basic components of his universe are all mental [Leibniz, by Jolley] |
12390 | A priori knowledge comes from available a priori warrants that produce truth [Kitcher] |
12418 | In long mathematical proofs we can't remember the original a priori basis [Kitcher] |
12389 | Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher] |
12416 | We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher] |
2615 | The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer] |
12413 | A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher] |
20473 | If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo] |
13092 | The essence of substance is the law of its changes, as in the series of numbers [Leibniz] |
19354 | Leibniz introduced the idea of degrees of consciousness, essential for his monads [Leibniz, by Perkins] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
7841 | We think we are free because the causes of the will are unknown; determinism is a false problem [Leibniz] |
5510 | Leibniz has a panpsychist view that physical points are spiritual [Leibniz, by Martin/Barresi] |
7564 | Occasionalism give a false view of natural laws, miracles, and substances [Leibniz, by Jolley] |
19372 | Concepts are ordered, and show eternal possibilities, deriving from God [Leibniz, by Arthur,R] |
13467 | Leibniz was the first modern to focus on sentence-sized units (where empiricists preferred word-size) [Leibniz, by Hart,WD] |
19365 | Limited awareness leads to bad choices, and unconscious awareness makes us choose the bad [Leibniz, by Perkins] |
8110 | Leibniz identified beauty with intellectual perfection [Leibniz, by Gardner] |
7569 | Humans are moral, and capable of reward and punishment, because of memory and self-consciousness [Leibniz, by Jolley] |
7574 | Natural law theory is found in Aquinas, in Leibniz, and at the Nuremberg trials [Leibniz, by Jolley] |
12728 | Leibniz rejected atoms, because they must be elastic, and hence have parts [Leibniz, by Garber] |
19374 | Microscopes and the continuum suggest that matter is endlessly divisible [Leibniz] |
7560 | Leibniz struggled to reconcile bodies with a reality of purely soul-like entities [Jolley on Leibniz] |
16683 | Leibniz eventually said resistance, rather than extension, was the essence of body [Leibniz, by Pasnau] |
12725 | Leibniz wanted to explain motion and its laws by the nature of body [Leibniz, by Garber] |
16507 | The law within something fixes its persistence, and accords with general laws of nature [Leibniz] |
7859 | Leibniz had an unusual commitment to the causal completeness of physics [Leibniz, by Papineau] |
15307 | Leibniz uses 'force' to mean both activity and potential [Leibniz] |
3889 | God's existence is either necessary or impossible [Leibniz, by Scruton] |
7842 | Leibniz was closer than Spinoza to atheism [Leibniz, by Stewart,M] |