L2: "Logic and Mathematics"

FREGE AND RUSSELL.

'Natural Numbers' - Words used to count. Created from Abstract Categories or Groups. "Plural" - Combination of Numbers/Words - Small Numbers different function to Large Numbers (logically reach up to 6/7 before start to count).

-(8545)- Basic Symbols Organised According to Syntax (inferred system of rules). Can be Analysed Through Division, etc. Addition and Multiplication as "Plurals of Plurals". Technology as innate part of Neurological Syntax. [CHOMSKY] A Basic Logical Language containing Limited Human Intelligence (predictive text, etc). 

Three attitudes towards numbers:

1) They are natural and empirical/observed. [RUSSELL]
2) They are intuitive [PYTHAGORAS/PLATO] - Numbers are from a different world. "Supernatural".
3) They are abstract objects [FREGE] that modify meaning. Not something we learn so must be innate [CHOMSKY]

Apes able to distinguish Simple Plurality. 0 (the absence of a thing/"one thing"), 1 (one/enough/"more than one thing") and 2 (a lot/unlimited/more than one/"many things") - All are strong natural numbers.