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4.3 Classical and Non-Classical Objects

In discussing the different varieties of identity, it will be useful to distinguish classical particulars, individuals, haecceities, and complexes from non-classical ones.
Def. 1: ti/ti/Ti is classical iff for sometk(ti/ti/Ti = tk/tkTk)
Def. 2: ti.Tk is classical iff for sometmtn(ti.Tk = tm.Tn)
Def. 3: ti/ti/Ti is non-classical iff ¬for sometk(ti/ti/Ti = tk/tkTk)
Def. 4: ti.Tk is non-classical iff ¬for sometmtn(ti.Tk = tm.Tn)
From the foregoing it follows that every particular, individual, haecceity, and complex is classical or non-classical, and that none is both.

Extending P Classically

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