Just a reminder that Tuomas Takho is speaking at Serious Metaphysics 
today, on 'Fundamentality and Ontological Well-foundedness'. We'll meet 
at the regular time of 1:00 - 2:30pm, in the Faculty Board Room.

Cheers,

Georgie


Fundamentality and Ontological Well-foundedness

Fundamentality is often characterized in terms of well-foundedness – a 
set-theoretical notion associated with the axiom of foundation. 
Well-foundedness can be defined for parthood or some other order. It 
states that every nonempty subset of a given domain has a minimal 
element. Well-foundedness rules out infinite descent and the minimal 
element may be considered fundamental. This paper expands the 
applicability of the notion of well-foundedness by introducing an 
ontological version of it: an order is said to be ontologically 
well-founded if there is an analogous, 'ontologically minimal' element. 
The idea of ontological minimality will be examined and it emerges that 
it may be compatible with some versions of metaphysical infinitism.

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