Several inputs from logic will assist us to establish relations between 2 objects, 2 subjects or 1 subject and 1 object as in simple relationships to form sentences. The most obvious is A = B. The most common, depending on definitions, A is not equal to B, hence A >B or B>A. Medieval logic adds the consideration of consequences and suppositions to relationships. A determines or leads B. We might suppose that A is a precondition for B.  Logical arguments often attempt to explain. Mathematical proofs chose ways to deduce or induce, whether a statement is true or false. To reduce the number of lines to explain a theorem is a mathematical virtue, just like in a game of chess to find a check and mate in fewer moves.
Leibniz increased the repertoire considerably. In geometry objects are parallel or in the infinitesimal calculus they approach each other without ever reaching each other. With the art of combinations he describes a language than contains groups and elements. The binary revolution, to express numbers, letters, images in form of pixels as multiple assemblies of 0 and 1, has revolutionized our potentials. Beyond these determined relationships there are stochastic relationships, they happen more or less likely. The centre of logic relationships remains deductability = to deduce, consistency = to consist of and completeness = to complete (Encyclopedia Universalis 14, p.653). Time adds another dimension to our concern to exemplify relations. A pre-empts B, or B follows A in time, but not in respect of deterministic logic. Additionally, locations in space of 2 objects allows us to imagine additional abstract forms of relationships, artists play around with this continuously. Some artefacts have created fantastic new ways to challenge our learned ways to consider relations. Last but not least, sound has contributed to how we perceive relations. To superpose, transpose or dissociate relations leaves different emotions. Relations are all around us. They certainly link subject and object in a sentence in multiple ways, copying or imitating nature. For further reading: HERBERT HOCHBERG; KEVIN MULLIGAN. Relations and Predicates. Frankfurt: De Gruyter, 2004. ISBN 9783110326536. Disponível em: Acesso em: 23 jan. 2023.

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