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Products of sets: Ordered and unordered

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Abstract

In this article we study the (Cartesian) Products of sets. As a prelude to it, we examine various definitions offered by different mathematicians to the concept of an ordered pair. The subtle difference between the notions of ordered products of sets and unordered products of sets is highlighted.

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References

  1. Dana Scott, Dominic Mccarty, Reconsidering ordered oairs, The Bulletin of Symbolic Logic, Vol.14, No.3, September 2008.

  2. Randall R Dipert, Set-theoretical representations of ordered pairs and their adequacy for the logic of relations, Canadian Journal of Philosophy, Vol.12, No. 2, June 1982.

  3. M Randall Holmes, On Ordered Pairs, math.boisestate. edu/~best/best18/ Talks/Holmes best_18.pdf. Princeton University Press, 1988.

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Correspondence to J. Madhusudana Rao.

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Jampala Madhusudana Rao is at Vijaya Engineering College, Andhra Pradesh. Somerset Maugham said, “It is unsafe to take your reader for more of a fool than he is.” In the same vein, the author believes that, it is unsafe to take yourself for more of a fool than you are.

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Madhusudana Rao, J. Products of sets: Ordered and unordered. Reson 21, 557–564 (2016). https://doi.org/10.1007/s12045-016-0360-2

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  • DOI: https://doi.org/10.1007/s12045-016-0360-2

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