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Koslicki’s three arguments for realism about natural kinds
The argument from induction and prediction
The argument from laws of nature
The argument from causal explanation
Mills’s objection to the view that race is a natural kind
P1. If X is a natural kind, then any instance or member of X could not exist without being X
P2. A member of a race can exist without being a member of that race
C. Race is not a natural kind
Examples of ontological disagreement
Universals exist/Universals do not exist
God is/God is not
Giraffes exist/Giraffes do not exist
Plato’s Beard
P1. If "Pegasus is not” is true, then
It says something, and
The name “Pegasus” does not refer to or name anything
P2. If the name “Pegasus” does not refer to or name anything, then the sentence “Pegasus is not” is nonsense, or fails to say anything
C1. “Pegasus is not” is false (not true)
C2. Pegasus is
Quine’s response to Plato’s Beard
Quine claims that this response to Plato’s Beard is a “confusion”. His point is deceptively simple: anyone who asserts that Pegasus is not, or that Pegasus doesn’t exist, is not trying to deny existence to any idea. To introduce ideas is to change the subject
Quine on universals
Skeptical of universals
Math is the real universal
Now let us turn to the ontological problem of universals: the question whether there are such entities as attributes, relations, classes, numbers, functions. (p. 48)
Note that when Quine mentions functions, he has in mind the functions of mathematics. Mathematics, as we will see, plays an important role for Quine, because it is the only source of universals that he is willing to acknowledge.
Examples of tropes
The specific shade of red
The specific shape
Mass or weight
Heil’s objection to tropes as parts
P1. If X is part of Y, then X can exist without the rest of Y existing
P2. The color of a thing (like a chair) cannot exist without the rest of the thing existing
C. The color of a thing is not part of that thing
A-series
Every moment in time is either past, present, or future
The present, or noe, is where we are (privileged present)
Time flows: what moment is present is always changing
There are various asymmetries between the past and future
Metaphysical asymmetries: the past is fixed, but the future (at least if we reject determinism) is not fixed. We can, through our actions, change the future, not the past
Epistemic asymmetries: memory only reaches into the past, not into the future
Moral asymmetries: regret is an attitude we have toward past events; anticipation is directed only toward future events
B-series
Every moment in time is either earlier than or later than any other moment in time
There is no privileged present
There is no flow of time
There are no past-future asymmetries, but there may be an asymmetry in the direction of time
Part 1 of McT’s Argument
P1. If there is time, then there is change
P2. If there is no A-series, then there is no change
C1. If there is no A-series, then there is no time
Part 2 of McT’s Argument
P3. If there is an A-series, then every event is exactly one of past, present, or future
P4. If there is an A-series, then every event is all three of past, present, and future
C2. There is no A-series
Modifying prefixes
Prior observes that if we prefix such claims with certain further linguistic constructions, the result blocks, or nullifies any ontological commitment.
The argument from tense logic
P1. We are ontological committed only to those things whose existence is entailed by our best theories
P2. Tense logic is our best theory of tense and time
P3. Tense logic entails the existence of present things, but not to past or future things
C. We are ontologically committed only to present things, not to past or future things.