The Pennsylvania State University
The question of diachronic personal identity concerns specifying the conditions under which a person \(A\) at \(t_1\) is one and the same person as person \(B\) at time \(t_2\).
Qualitative similarity
What does it mean to say two objects are the same?
“Same” = qualitatively similar
Qualitative similarity
Objects \(A\) and \(B\) are qualitatively similar iff they share most of the same intrinsic properties \(F\) relative to some comparative class \(C\).
Examples
“Same” = qualitatively identical
Qualitative identity
Objects \(A\) and \(B\) are qualitatively identical iff they share all of the same intrinsic properties \(F\).
More precisely, objects \(x\) and \(y\) are qualitatively identical iff for any property \(F\), \(x\) is \(F\) iff \(y\) is \(F\).
When thinking about qualitative identity, generally people are talking about the object’s “intrinsic properties”.
Intrinsic property
A property \(F\) of an object \(O\) is an intrinsic property iff \(O\) has that property in virtue of what \(O\) is and not in virtue of its relation to something else.
Intrinsic properties (depend on the structure)
Extrinsic properties
Example 1 - Two Cubes
Example 2 - Metaphysics Teacher
“Same” = numerically identical
Numerical identity
Object \(A\) is numerically identical to \(B\) iff \(A=B\), viz., they are one and the same object.
Counting reveals beliefs about numerical identity.
We sometimes don’t know that the objects picked out by our descriptions of objects are numerically identical.
“The morning star” = “The evening star” = Venus
Dennis Rader = BTK Killer
It is debatable whether qualitative identity entails numerical identity.
Test case: Imagine two cubes \(A\) and \(B\) that have the same intrinsic properties but are in different locations. Are \(A\) and \(B\) one and the same object?
People think there are two cubes \(A\neq B\). Even though location is not an intrinsic property of a thing, it plays a role in distinguishing objects.
In contrast, people think there can only be one object wholly occupying a space.
People debate whether numerical identity entails qualitative identity:
Take John at time \(t_1\) and then 1s later at \(t_2\). Some of John’s properties have changed. So the two “Johns” are not qualitatively identical, but people will say there is one John (numerical identity).
Exercise
Consider the Go stones given to you. Answer the following:
Diachronic numerical identity has to do with an object being numerically identical through time (or more generally, at different times)
Diachronic numerical identity
Object \(A\) at \(t_1\) is numerically identical to \(B\) at \(t_2\) (where \(t_1\neq t_2\)) iff \(A=B\), viz., they are one and the same object.
Question of diachronic numerical identity
The qustion of diachronic numerical identity is how does an object \(O\) survive change? Some changes destroy the object, others preserve its identity, under what conditions is an object \(O\) at \(t_1\) one and the same object as \(O\) at \(t_2\)?
Exercise
Create an example of an object \(A\) at \(t_2\) that is qualitatively different than \(B\) at \(t_1\) but it is one and the same object. That is, create an example where an object survives change
The question of diachronic numerical personal identity is just the question of diachronic numerical identity applied to persons.
Narrow version
Under what conditions is it the case that person \(A\) at \(t_1\) is one and the same person as \(B\) at \(t_2\) (where \(t_1\neq t_2\))?
Broad version
Let \(A\) be a person at \(t_1\) and \(B\) be an object at \(t_2\) (where \(t_1\neq t_2\)). Under what conditions is it the case that \(A=B\)
Exercise
It is possible that you could continue to exist as a non-person?
The question of diachronic personal identity is:
But why care?
My beliefs about my history inform how I understand myself today and my place in the world
We only punish the person \(A\) that did the bad act.
We only reward the person \(A\) that did the good (meritorious) act.
We often forego immediate utility for greater future utility. This self-interest is only rational if the person in the future is you.
People consign their future selves to pay the costs of activities done by their present selves.
Why?
When our present self makes a decision that would significantly burden our future self, it seems like we are viewing our future self as someone else?
vMPFC (brain) is active when people think of themselves
Exercise