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A comprehensive one-year graduate (or advanced undergraduate)
course in mathematical logic and foundations of mathematics. No
previous knowledge of logic is required; the book is suitable for
self-study. Many exercises (with hints) are included.
I WILL NOT SING ALONE is a deliberately eclectic collection of
words and music from different ages fused in contemporary
arrangements. There are ancient texts and modern texts, simple and
sophisticated. There are choral anthems, folk tunes and
contemporary syncopated melodies. The songs include, exclamations
of praise, meditative reflections on the love of God, and laments
for the loss of a child and for countries at war. These are songs
of faith which are intended for everybody: Not a high octane choral
album or a selection of psuedo-celtic escapist ditties, but songs
of engagement with life and with God, all grounded in the passion
and pain of Christian love.
This text introduces topos theory, a development in category theory
that unites important but seemingly diverse notions from algebraic
geometry, set theory, and intuitionistic logic. Topics include
local set theories, fundamental properties of toposes, sheaves,
local-valued sets, and natural and real numbers in local set
theories. 1988 edition.
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