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Proof by deduction
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Introduction to the concept of proofs, proof by deduction, and proof with even and odd numbers.
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Deductive Proof
SL AA 1.6
A proof is a strict logical argument that demonstrates with mathematical certainty that a statement is true.
For SL students, these proofs will be in the form
Prove that
(LHS expression)≡(RHS expression)
where ≡ means equivalent, i.e. equal for ALL variables in the expression, not just some specific intersections.
We use LHS (left-hand side) and RHS (right-hand side) as an abbreviation for one side of the equivalence.
Even and Odd Numbers
SL AA 1.6
The parity of an integer describes whether or not it is divisible by 2. We say that
0,2,4,6… are even
1,3,5,7… are odd
In general, even numbers take the form n=2k, and odd numbers take the form n=2k+1 for some k∈Z.
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