Abstract
We agree that a statement is either true or false (Law of the Excluded Middle) but not both (Law of Noncontradiction). Our use of “not,” “and,” “or,” “if… then…” and “iff” in relation to arbitrary statements p and q is explained by the truth tables in Table 1.1, where “T” stands for true and “F” for false. In mathematics “or” is always used in the inclusive sense.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Martin, G.E. (1975). Equivalence Relations. In: The Foundations of Geometry and the Non-Euclidean Plane. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5725-7_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5725-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5727-1
Online ISBN: 978-1-4612-5725-7
eBook Packages: Springer Book Archive