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We turn then to Chapter 6 of Luca’s book, ‘The Stratified Conception’. This chapter starts with a brief discussion of Russell’s aborted ‘zigzag’ theory, which tries to modify naive comprehension by requiring that it applies only to sufficiently “simple” properties … Continue reading → The post Luca Incurvati’s Conceptions of Set, 12 appeared first on Logic [More]
The next chapter of Conceptions of Set discusses set theories like NF that modify naive comprehension by imposing a stratification condition. My friend Thomas Forster, NF-iste extraordinaire, has been looking at some of Luca’s book too, and dropped me this … Continue reading → The post Guest post: Thomas Forster on Conceptions of Set and motivating NF appeared first on Logic [More]
We are continuing to discuss Luca’s Chapter 5. The naive comprehension principle — for every property F, there is a set which is its extension — seems intuitively appealing but leads to paradox. So how about modifying the principle along … Continue reading → The post Luca Incurvati’s Conceptions of Set, 11 appeared first on Logic [More]
Naive set theory entails contradictions. Really bad news. Or so most of us think. But what if we are prepared to be more tolerant of contradictions, e.g. by adopting a dialethic and paraconsistent logic, which allows there to be contradictions … Continue reading → The post Luca Incurvati’s Conceptions of Set, 9 appeared first on Logic [More]
Naive set theory entails contradictions. Really bad news. Or so most of us think. But what if we are prepared to be more tolerant of contradictions, e.g. by adopting a dialethic and paraconsistent logic, where there are contradictions which are … Continue reading → The post Luca Incurvati’s Conceptions of Set appeared first on Logic [More]
In a couple of very well known papers, George Boolos argued that “the axioms of replacement do not follow from the iterative conception”. Was he right? Or can Replacement be justified on (some core version of) the iterative conception? This … Continue reading → The post Luca Incurvati’s Conceptions of Set, 7 appeared first on Logic [More]
In §3.3 of Conceptions of Set, Luca discusses what he calls the ‘no semantics’ objection to the iterative conception. He sums up the supposed objection like this: Consider the case of iterative set theory, which for present purposes will be … Continue reading → The post Luca Incurvati’s Conceptions of Set, 6 appeared first on Logic [More]
On now to the very interesting second half of the second chapter, where we are still considering the iterative conception in an initial way. So, quoting Luca, According to the iterative conception, then, sets can be arranged in a cumulative … Continue reading → The post Luca Incurvati’s Conceptions of Set, 4 appeared first on Logic [More]

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## Interview with

Dr. Robert McKim
• on Religious Diversity
• Professor of Religion and Professor of Philosophy
• Focuses on Philosophy of Religion
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Dr. Alvin Plantinga
• on Where the Conflict Really Lies
• Emeritus Professor of Philosophy (UND)
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Dr. Peter Boghossian
• on faith as a cognitive sickness
• Teaches Philosophy at Portland State University (Oregon)
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• Has a passion for teaching in prisons
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