I am reading D. J. H. Garling: "A Course in Mathematical Analysis: Volume I Foundations and Elementary Real Analysis ... ... and I am also referencing concepts in Derek Goldrei's book, "Classic Set Theory for Guided Independent Study" ...(adsbygoogle = window.adsbygoogle || []).push({});

I am currently focused on Garling's Section 1.3 Relations and Partial Orders ... ...

Garling defines a partial order as follows:

... ... BUT Goldrei's definition is (apparently) slightly different ... as follows:

Can anyone explain why Goldrei includes reflexivity but Garling doesn't ... ... ???

Is it because reflexivity can be derived somehow from Garling's condition (ii) ... which appears to simply be anti-symmetry ... ???

Can someone please clarify this issue ...

Help will be appreciated ...

Peter

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# I Partial Order - Reconciling Definitions by Garling and Goldrei

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