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This book grew out of my confusion. If logic is objective how can
there be so many logics? Is there one right logic, or many right
ones? Is there some underlying unity that connects them? What is
the significance of the mathematical theorems about logic which
I've learned if they have no connection to our everyday reasoning?
The answers I propose revolve around the perception that what one
pays attention to in reasoning determines which logic is
appropriate. The act of abstracting from our reasoning in our usual
language is the stepping stone from reasoned argument to logic. We
cannot take this step alone, for we reason together: logic is
reasoning which has some objective value. For you to understand my
answers, or perhaps better, conjectures, I have retraced my steps:
from the concrete to the abstract, from examples, to general
theory, to further confirming examples, to reflections on the
significance of the work.
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