24 DEC 2016 by ideonexus

 Number Scrabble: Numerical Tic-Tac-Toe

In psychological research on problem-solving, sometimes the game of Tic-Tac-Toe is employed, which, though very simple to learn and play, still offers sufficient problems to the investigator in that it is not at all clear what heuristics are used by the subjects, except avoiding the winning move of the opponent. The same is apparently true for the isomorphic game of Number Scrabble, which is based on the fact that there exists a 3 X 3 magic square, of which rows, columns, and main diagonals a...
Folksonomies: math games number scrabble tic-tac-toe
Folksonomies: math games number scrabble tic-tac-toe
  1  notes
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06 JUN 2012 by ideonexus

 Experiments of Fact and Quantity

Experiments may be of two kinds: experiments of simple fact, and experiments of quantity. ...[In the latter] the conditions will ... vary, not in quality, but quantity, and the effect will also vary in quantity, so that the result of quantitative induction is also to arrive at some mathematical expression involving the quantity of each condition, and expressing the quantity of the result. In other words, we wish to know what function the effect is of its conditions. We shall find that it is o...
Folksonomies: experimentation
Folksonomies: experimentation
  1  notes

Quantity gathers numerical results, fact seeks the laws governing those results.

An interesting reference to the exponential growth when the Vizicar asked the king for doubling growth of grains for each square of the chessboard he had invented. Not terribly large amounts at first, but they become vast as we work across the boards 64 squares.