Applying Mathematic & Geometric Principles to Linguistics
Abstract: Pairs of antonyms can be arrayed along an axis of symmetry; variables including neutrality, context, time, create a multi-dimensional model of linguistics
A quick reading of Stuart C. Dodd’s writings
suggests that mathematics may be applied to the liberal arts. Dr. Richard Kirby suggests that mathematics may be applied to theology.
Dan Shaw, this author, suggests its application to linguistics. Words and thus concepts can be deconstructed usefully along an axis, I have been collecting such “word-charts” and “word-graphs” for years, and will post some here.
It is simple to construct pairs of antonyms along an ‘axis of subtlety’ where one side is the positive aspect, e.g., thrift, and the other, the negative aspect, e.g., “spendthrift,” “tight-wad,” “scrooge,” etc. Along the plane of symmetry, one posits the neutral word and aspect , e.g., “relation to money.” One might then posit another ‘axis’ along which the variable is things other than money, say relationship to plants, animals, people, places, ideas, etc. Now we have a three dimensional plane of relationships between words, ideas, levels of subtlety, and contexts. There are also multidimensional models, perhaps I will go into this further next in my post on
The Additive Model of Social Interactions
? What would a 4-th dimensional time-based “word-graph” look like?
See the work of Jose Arguelles
Answer above questions.
Post to wikipedia.
Mathematics; linguistics; geometry; word-graph; Jose Arguelles
Length: Approximately # words