Combining Texts
Ideas for
'Metaphysics', 'Parts' and 'De Re Aedificatoria'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
24 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
562
|
Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
|
573
|
The axioms of mathematics are part of philosophy [Aristotle]
|
4. Formal Logic / G. Formal Mereology / 1. Mereology
12815
|
Classical mereology doesn't apply well to the objects around us [Simons]
|
12832
|
Complement: the rest of the Universe apart from some individual, written x-bar [Simons]
|
12834
|
Criticisms of mereology: parts? transitivity? sums? identity? four-dimensional? [Simons]
|
12819
|
A 'part' has different meanings for individuals, classes, and masses [Simons]
|
4. Formal Logic / G. Formal Mereology / 2. Terminology of Mereology
12822
|
Proper or improper part: x < y, 'x is (a) part of y' [Simons]
|
12824
|
Disjoint: two individuals are disjoint iff they do not overlap, written 'x | y' [Simons]
|
12827
|
Difference: the difference of individuals is the remainder of an overlap, written 'x - y' [Simons]
|
12823
|
Overlap: two parts overlap iff they have a part in common, expressed as 'x o y' [Simons]
|
12825
|
Product: the product of two individuals is the sum of all of their overlaps, written 'x · y' [Simons]
|
12826
|
Sum: the sum of individuals is what is overlapped if either of them are, written 'x + y' [Simons]
|
12828
|
General sum: the sum of objects satisfying some predicate, written σx(Fx) [Simons]
|
12829
|
General product: the nucleus of all objects satisfying a predicate, written πx(Fx) [Simons]
|
12830
|
Universe: the mereological sum of all objects whatever, written 'U' [Simons]
|
12831
|
Atom: an individual with no proper parts, written 'At x' [Simons]
|
12844
|
Dissective: stuff is dissective if parts of the stuff are always the stuff [Simons]
|
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
12813
|
Two standard formalisations of part-whole theory are the Calculus of Individuals, and Mereology [Simons]
|
12821
|
The part-relation is transitive and asymmetric (and thus irreflexive) [Simons]
|
18847
|
Each wheel is part of a car, but the four wheels are not a further part [Simons]
|
12816
|
Classical mereology doesn't handle temporal or modal notions very well [Simons]
|
4. Formal Logic / G. Formal Mereology / 4. Groups
12846
|
A 'group' is a collection with a condition which constitutes their being united [Simons]
|
12848
|
The same members may form two groups [Simons]
|
12861
|
'The wolves' are the matter of 'the pack'; the latter is a group, with different identity conditions [Simons]
|