Lectures on Constructive Mathematics. - Mathematics, Algorithms ...
Lectures on Constructive Mathematics. - Mathematics, Algorithms ...
Lectures on Constructive Mathematics. - Mathematics, Algorithms ...
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In place of the essentially n<strong>on</strong>c<strong>on</strong>structive propositi<strong>on</strong>s<br />
8 x2R (x = 0 _ x 6= 0) ;<br />
8 x2R (x > 0 _ x 6 0) ;<br />
we have these c<strong>on</strong>structively valid propositi<strong>on</strong>s:<br />
1) If a < b; then for each real number x; either a < x or x < b:<br />
2) If (x > 0) is impossible, then x 6 0: