| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
This project has demonstrated that numeral systems in human language make a crucial use of an additive operation, in the form of coordination. It has been further argued that the additive operation is a simple, direct consequence of applying the combinatory operation Merge. Discrete infinity seen in numeral systems of human language is not represented in the form of the Successor Function nor in the form of the number-by-word system. Rather, I have presented an analysis that argues that numeral systems mirror the syntactic structure-building: a system of Merge with a finite set of numerals and numeral bases to handle discrete infinity. This system is an optimal solution to the conflicting demands from the computational efficiency and the external system.
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