I had an academic career as a Philosopher and have now retired as an Emeritus Professor at Monash University, Clayton Campus, Victoria, Australia 3800. I have a PhD in Philosophy from the University of Cambridge, England, and a PhD in English from Monash University, Australia. I have taught at Victoria University of Wellington and the University of Canterbury, NZ, and Simon Fraser University, BC, Canada, and La Trobe University and Monash University and Melbourne Universities and the University of Tasmania in Australia. I am still doing research in Philosophy, particularly in Metaphysics. But I am also doing research on influences of Platonism in the history of the arts and sciences
... The relevant set-theoretical relation is not quite the subset relation, but it is not far rem... more ... The relevant set-theoretical relation is not quite the subset relation, but it is not far removed; and it too will be called an entailment relation. ... By pairing a propositional function, f say, with an individual, a, we create an ordered pair, (f, a), ...
ABSTRACT Here is a simplified fiction which is based on a real case at a Californian University. ... more ABSTRACT Here is a simplified fiction which is based on a real case at a Californian University. The Faculty of Humanities decided to try to increase the number of women on their staff. There were 13 women and 13 men who applied for positions in the Faculty. All the positions were directed towards the study of either time or space, in the departments of History or Geography. There were 13 applicants for the positions in History and 13 applicants for the positions in Geography. Of the women applicants 8 applied for positions in History, and 5 for Geography, whereas 5 of the men applied for positions in History and 8 in Geography. The History Department appointed 2 of the 8 women applicants (a 25% success rate for the women) and 1 of the 5 men (a 20% success rate for the men), so they congratulated themselves that they had favoured women over men. The Geography Department appointed 4 of the 5 women applicants (an 80% success rate) and 6 of the 8 men (a 75% success rate), so they too congratulated themselves that they had favoured women over men. Yet the Faculty was taken to task by the University administration, because they had had 13 male applicants and 13 female applicants and yet they appointed fewer women than men: 6 females and 7 males, so it appeared that the Faculty had favoured men over women: Women
... We can then see that these propositions A and B are such that di(AUB) > di(A) + di(B). Con... more ... We can then see that these propositions A and B are such that di(AUB) > di(A) + di(B). Consider in contrast two disjoint propositions A and B represented by the letters “a” and “b” in the following diagram: abab baba abab baba In this case, di(AU B) = di(A) =di(B) = &(4(4 +4(B)). ...
... The relevant set-theoretical relation is not quite the subset relation, but it is not far rem... more ... The relevant set-theoretical relation is not quite the subset relation, but it is not far removed; and it too will be called an entailment relation. ... By pairing a propositional function, f say, with an individual, a, we create an ordered pair, (f, a), ...
ABSTRACT Here is a simplified fiction which is based on a real case at a Californian University. ... more ABSTRACT Here is a simplified fiction which is based on a real case at a Californian University. The Faculty of Humanities decided to try to increase the number of women on their staff. There were 13 women and 13 men who applied for positions in the Faculty. All the positions were directed towards the study of either time or space, in the departments of History or Geography. There were 13 applicants for the positions in History and 13 applicants for the positions in Geography. Of the women applicants 8 applied for positions in History, and 5 for Geography, whereas 5 of the men applied for positions in History and 8 in Geography. The History Department appointed 2 of the 8 women applicants (a 25% success rate for the women) and 1 of the 5 men (a 20% success rate for the men), so they congratulated themselves that they had favoured women over men. The Geography Department appointed 4 of the 5 women applicants (an 80% success rate) and 6 of the 8 men (a 75% success rate), so they too congratulated themselves that they had favoured women over men. Yet the Faculty was taken to task by the University administration, because they had had 13 male applicants and 13 female applicants and yet they appointed fewer women than men: 6 females and 7 males, so it appeared that the Faculty had favoured men over women: Women
... We can then see that these propositions A and B are such that di(AUB) > di(A) + di(B). Con... more ... We can then see that these propositions A and B are such that di(AUB) > di(A) + di(B). Consider in contrast two disjoint propositions A and B represented by the letters “a” and “b” in the following diagram: abab baba abab baba In this case, di(AU B) = di(A) =di(B) = &(4(4 +4(B)). ...
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