Thursday, August 30, 2018

Near-number arithmetic, part two: multiplication and division

The second of a three-part lesson on near-number arithmetic is now online, covering multiplication and division; next will come a video discussing and connecting all of the ☆-forms.  Key learning goals are:
  • how binary arithmetical operations operate on near-numbers (one pair of slices at a time, on all pairs of numbers, one from each slice);
  • familiarity with multiplication of basic near-numbers: finite × finite, finite × infinite, and infinite × infinite, and division via multiplying by the reciprocal;
  • ☆-forms for multiplication and division: 0+× +∞, +∞/+∞, and 0+/0+
  • The number zero times anything—including +∞—is simply zero.

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