[Inquiry] Re: Simple Meanings In Limnal Expressions

[Jon Awbrey]

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SMILE.  Note 5

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SMILE-Oct.  http://stderr.org/pipermail/inquiry/2005-October/thread.html#3146
SMILE-Nov.  http://stderr.org/pipermail/inquiry/2005-November/thread.html#3166
SMILE-COM.  http://stderr.org/pipermail/inquiry/2005-November/thread.html#3168
SMILE-DIS.  http://stderr.org/pipermail/inquiry/2005-October/thread.html#3150

| 3.3.  The Simplest Branch of Mathematics (cont.)
|
| Let us call !v! and !f! the two possible 'values',
| one of which must be attached to any unknown.
| For the form of reasoning will be the same
| whether we talk of identity or attachment.
|
| The attachment may be of any kind so long
| as each unknown must be, or be attached to,
| !v! or !f!, but cannot be, or be attached to,
| both !v! and !f!.
|
| This idea of a system of values is one of the most fundamental abstractions
| of the algebraic method of mathematics.  An object of the universe, whose
| 'value' is generally unknown, though it may in special cases be known --
| that is to say, an object which, to phrase the matter differently, 'is'
| one of the values, though perhaps we do not know which -- is called,
| when we speak of it as "having" a value, a 'quantity'.
|
| C.S. Peirce, 'Collected Papers', CP 4.251
|
| C.S. Peirce, 'Collected Papers of Charles Sanders Peirce, Volume 4,
| The Simplest Mathematics', Charles Hartshorne and Paul Weiss (eds.),
| Belknap Press of Harvard University Press, Cambridge, MA, 1933, 1961.

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