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QuoteRef: leibGW_1666
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references i-l
Topic:
abstraction by common attributes
Topic:
number as a progression for counting and 1-1 relations
Topic:
continuum in mathematics
Topic:
infinity and infinitesimal
Topic:
necessary truth
Topic:
analytic truth
Topic:
empirical truth
Group:
sets
Group:
sequences
Topic:
logic
Topic:
boolean values, binary numbers, and bit strings
Topic:
thought is computational
Topic:
what is a number
Topic:
natural language as a system
Topic:
reductionism
Topic:
skepticism about knowledge
Topic:
logic programming
Reference
Leibniz, G.W., "Dissertatio de arte combinatoria [Dissertation on the art of combinations]", 1666, pp. 73-84, in Loemker, L.E. (ed.), Gottfried Wilhelm Leibniz. Philosophical papers and letters, Dordrecht-Holland, D. Reidel Publishing Company, 1969 (2nd edition). 1st edition 1956., pp. 1-11, in Parkinson, G.H.R. (ed.), Leibniz: Logical Papers, Oxford: Clarendon Press, 1966. Google
Notes
References from Gerhardt, C.I. (ed.), Die philosophischen Schriften von Gottfried Wilhelm Leibniz, Berlin, 1875-90
73 ;;Quote: a whole is one concept made of subparts with something in common; can be enumerated
73+;;Quote: every body has an infinite number of parts; i.e., the continuum is infinitely divisible
74 ;;Quote: necessary and contingent propositions; what is (so) either is or is not (so) vs. something exists
77 ;;Quote: situs--parts are ordered in a line or a set in a vicinity
3 ;;Quote: Hobbes--everything done by our mind is a computation; 'is' and 'is not' corresponds to + and -
4 ;;Quote: analyze categories as mutipart numbers; e.g. 'Interval' is 2.3.10 where 2 is space, 3 is between, and 10 is whole
4+;;Quote: analyze categories to their indefinable terms; Aristotle--we must not seek a definition of everything
5 ;;Quote: if terms are written as their indefinable, first terms, it is easy to resolve predicates and derive terms
10 ;;Quote: create a universal writing of first terms; e.g., a relation is a line; like Chinese but simpler
ThesaHelp: references i-l (342 items)
Topic: abstraction by common attributes (19 items)
Topic: number as a progression for counting and 1-1 relations (22 items)
Topic: continuum in mathematics (7 items)
Topic: infinity and infinitesimal (37 items)
Topic: necessary truth (24 items)
Topic: analytic truth (51 items)
Topic: empirical truth (44 items)
Group: sets (7 topics, 148 quotes)
Group: sequences (7 topics, 96 quotes)
Topic: logic (84 items)
Topic: boolean values, binary numbers, and bit strings (44 items)
Topic: thought is computational (55 items)
Topic: what is a number (55 items)
Topic: natural language as a system (43 items)
Topic: reductionism (51 items)
Topic: skepticism about knowledge (34 items)
Topic: logic programming (34 items)