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Ideas of Jeffrey H. Sicha, by Text

[American, fl. 1968, At Amherst College.]

1968 Counting and the Natural Numbers
2 p.407 The essence of natural numbers must reflect all the functions they perform
     Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
     A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'.
2 p.407 Counting puts an initial segment of a serial ordering 1-1 with some other entities
     Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
3 p.410 To know how many, you need a numerical quantifier, as well as equinumerosity
     Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)