Skepdick wrote: ↑Sun May 24, 2020 7:56 am
Belinda wrote: ↑Sat May 23, 2020 7:06 pm
Is a set that is not a member of itself the same as a set of uncaused members?I.e is definition the same as cause?
That's largely a matter of perspective.
In one view - A set is an abstract Mathematical object, it exists separate from reality and doesn't represent anything except what its definition.
In another view - a set is a model for other things. e.g the universe is a set.
The notion of "causality" doesn't feature in Mathematics (not to my knowledge anyway).
The notion of change does.
Belinda wrote: ↑Sat May 23, 2020 7:06 pm
For example the fullest possible definition of horse includes every event that is horse-connected.
Exactly. In English - its history. If any one of those necessary pre-conditions didn't happen the horse wouldn't be there.
Belinda wrote: ↑Sat May 23, 2020 7:06 pm
Every event that is horse-connected can't exclude unconventionally horse-related events such as the contemporaneous existence of predatory sabre toothed tigers, and infinitely more only limited by the beginning and end of time.
Exactly. Where do you draw the line if time is continuous? The
tree of life is very very complex and that picture doesn't even do it justice.
Belinda wrote: ↑Sat May 23, 2020 7:06 pm
What items are undefined and are there such items?
I assume you are asking a mathematical question, so the first example that comes to mind is division by zero.
The notion of "causality" doesn't feature in Mathematics (not to my knowledge anyway).
The notion of change does.
Is change a name for disparity , i.e. no sameness, both temporal and stationary e.g. Yin and Yang? If causation is not what links events then the believer in orderedness must trust some other linking function exists. Mathematicians believe and presume 3 is not the same as 4 not so? Time is continuous ;is space continuous until , as we do with time, we pretend for our convenience it comes in little parcels?
Where do you draw the line if time is continuous?
At social reality which is a form of subjective reality. Social reality emerges from material environments such as climate and terrain . Social reality includes rules about how individuals cooperate: so back to the main topic. I am not a Platonist and I claim mathematics belongs, like morality and aesthetics, with social reality. My bias.
It's true that musical harmonies, spiral shells, and other phenomena seem to point to Platonic eternal truth , and I don't know how to refute that theory.
What items are undefined and are there such items?
I assume you are asking a mathematical question, so the first example that comes to mind is division by zero.
Then there is no event that can't possibly be defined and differentiated from other events. That is tantamount to claiming nature is ordered=each event is a necessary event=necessity is the engine of the Big Bang. It follows from the Big Bang perspective morality as a function of social reality is a necessary event. It does not follow we know a) the whole picture of necessity and b) the morality subsection of the whole picture of necessity.
From previous experience we, as animals can learn, and we do know our most efficacious way to Big Bang moral necessity is reason i.e. knowledge and judgement. NB not, as theists believe, via revelation from on high.
It is a pleasant thought that other animals are in the Garden of Eden and not burdened with existential angst. Robert Burns wrote a nice poem called "To a Mouse" after that theme .
Last stanza:
"Thou art blessed compared wi me,
For backwards I can cast my ee
On prospects drear
And forward, though I canna see
I guess and fear. "