In this paper, a modified form of Collatz conjecture for neutrosophic numbers n ∈ (Z U I) is defined. We see for any n ∈ (Z U I) the related sequence using the formula (3a + 1) + (3b + 1)I converges to any one of the 55 elements mentioned in this paper. Using the akin formula of Collatz conjecture viz. (3a- 1) + (3b -1)I the neutrosophic numbers converges to any one of the 55 elements mentioned with appropriate modifications. (...) Thus, it is conjectured that every n ∈ (Z U I) has a finite sequence which converges to any one of the 55 elements. (shrink)

Kant's political thinking is predominantly evaluated in contractarian terms, though recent contributions have also emphasized the natural law influence on him. This paper argues that the assimilation of Kant into either tradition is problematic. An analysis of his account of political obligation cannot ignore the distinctiveness of Kant's general philosophical framework. Two recurrent Kantian themes are crucial to a reconstruction of his political argument. The first is the tension between freedom and causality, or nature. The second is the role of (...) reflective judgment in practical reasoning. The paper analyses Kant's property argument, and his related account of political obligation, from the perspective of these Kantian themes. Kant's ‘antinomy of Right’, formulated in the context of his property argument, is interpreted as a conflict between freedom and nature, and in analogy with the third antinomy of the Critique of Pure Reason. Kant's obscure theorem, the lex permissiva, is central to his ‘solution’ to the antinomy. The theorem is best understood as a reflective practical judgment, through which agents are brought to acknowledge that their obligations of justice towards one another are a direct entailment of their respective claims to property. The connection between property rights and political obligations is thus intrinsic, not extrinsic; the acknowledgement of that connection an act of reflective judgment, not contractual. (shrink)

Aristotle claims man is a political animal and that the polis exists by nature. Taking literally his analogy between the legislator and the craftsman, Aristotle's critics contend that he 'blunders' because the polis is artificial, devised by a legislator/founder and imposed on a people. We defend Aristotle's claims by showing, first, how Aristotle's claim that man is by nature an animal possessing logos -- speech/reason -- grounds his account of the natural development of the polis out of the earliest partnerships (...) (which the critics concede are natural); second, that the person who first brought people together in a polis may well have done so without realizing the scope of his actions; and, finally, that the developmental process is clearly one of praxis (action), not poisis (making, the imposition of a form on matter). Aristotle's claims are evidenced by the Homeric hero Philoctetes, whom one critic takes to disprove Aristotle's theses. (shrink)

Petrovich provides an insightful study on analytic philosophy (AP) with the intention of determining whether this sub-field of philosophy has been operating within what Kuhn calls a normal science framework. Through a citation analysis, Petrovich concludes that AP does not exhibit the sort of pattern that we would expect of a field operating in a normal science phase. I take issue with Petrovich’s way of measuring normal science. I provide some insight into how we might better measure normal science in (...) future studies. (shrink)

Concept of cognition in Viśiṣṭādvaita philosophy; a study.