Devices for displaying or performing operations in a...

G - Physics – 09 – B

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G09B 1/32 (2006.01) G09B 19/02 (2006.01) G09B 23/02 (2006.01)

Patent

CA 1142750

ABSTRACT OF THE DISCLOSURE Disclosed are various apparatuses for displaying and perform- ing operatings upon a complete set of the sixteen binary connectives in a two-valued notational system, one that can be readily adapted to teach, to learn about, and to apply logic. The apparatus may com- prise one device having means displaying a plurality of symbols, where- in each symbol represents one of the binary connectives, the means hav- ing the plurality of symbols in a predetermined configuration. The apparatus may comprise are than one device, in which case the devices are movable and belong to a set, and when used in a selected combina- tion, the combination of movable devices is capable of being assembled in a predetermined comformation. Whether the apparatus comprises one or more devices, each of the symbols has a shape selected to indi- cate a selected number of from zero to four components arranged with respect to the quadrants of a set of Cartesian coordinates, wherein the shape has iconicity, frame consistency, and eusymmetry with re- spect to the quadrants of Cartesian coordinates, and wherein the alignment of the shape is symmetry positional with respect to the x-y axes of the Cartesian coordinates. Further the shape is taken from at least six letter-shapes capable of generating 16 symbols that can be readily assigned a phonetic value, the symbols having four levels of symmetry such that two of the symbols are two-way self-flippable and self-rotatable, two of the symbols are not self-flippable but are self- rotatable, four of the symbols are one-way self-flippable but are not self-rotatable, and eight of the symbols are neither self-flippable nor self-rotatable. The symbols, the configuration of the symbols, the set of movable devices, and the conformation of the devices are selec- ted so that the one device is, or the devices are, adaptable by trans- formations taken from the group consisting of reflections, rotations, translations, counterchanges, and combinations thereof to display and perform the operations.

278541

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