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J. Fang [37]Jie Fang [5]Joong Fang [4]Jiming Fang [1]
  1. T. S. Blyth, Jie Fang & Lei-bo Wang (forthcoming). De Morgan Algebras with a Quasi-Stone Operator. Studia Logica:1-16.
    We investigate the class of those algebras (L; º, *) in which (L; º) is a de Morgan algebra, (L; *) is a quasi-Stone algebra, and the operations ${x \mapsto x^{\circ}}$ and ${x \mapsto x^{*}}$ are linked by the identity x**º = x*º*. We show that such an algebra is subdirectly irreducible if and only if its congruence lattice is either a 2-element chain or a 3-element chain. In particular, there are precisely eight non-isomorphic subdirectly irreducible Stone de Morgan algebras.
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  2. T. S. Blyth, Jie Fang & Leibo Wang (forthcoming). On Ideals and Congruences of Distributive Demi-P-Algebras. Studia Logica:1-16.
    We identify the \({{}^\star}\) -ideals of a distributive demi-pseudocomplemented algebra L as the kernels of the boolean congruences on L, and show that they form a complete Heyting algebra which is isomorphic to the interval \({[G,\iota]}\) of the congruence lattice of L where G is the Glivenko congruence. We also show that the notions of maximal \({{}^\star}\) -ideal, prime \({{}^\star}\) -ideal, and falsity ideal coincide.
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  3. Jie Fang, Lei-Bo Wang & Ting Yang (2014). The Lattice of Kernel Ideals of a Balanced Pseudocomplemented Ockham Algebra. Studia Logica 102 (1):29-39.
    In this note we shall show that if L is a balanced pseudocomplemented Ockham algebra then the set ${\fancyscript{I}_{k}(L)}$ of kernel ideals of L is a Heyting lattice that is isomorphic to the lattice of congruences on B(L) where ${B(L) = \{x^* | x \in L\}}$ . In particular, we show that ${\fancyscript{I}_{k}(L)}$ is boolean if and only if B(L) is finite, if and only if every kernel ideal of L is principal.
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  4. T. S. Blyth & J. Fang (2011). On Endomorphisms of Ockham Algebras with Pseudocomplementation. Studia Logica 98 (1-2):237-250.
    A pO -algebra $${(L; f, \, ^{\star})}$$ is an algebra in which ( L ; f ) is an Ockham algebra, $${(L; \, ^{\star})}$$ is a p -algebra, and the unary operations f and $${^{\star}}$$ commute. Here we consider the endomorphism monoid of such an algebra. If $${(L; f, \, ^{\star})}$$ is a subdirectly irreducible pK 1,1 - algebra then every endomorphism $${\vartheta}$$ is a monomorphism or $${\vartheta^3 = \vartheta}$$ . When L is finite the endomorphism monoid of L is (...)
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  5. Jie Fang (2008). Ockham Algebras with Balanced Double Pseudocomplementation. Studia Logica 90 (2):189 - 209.
    In this paper, we introduce a variety bdO of Ockham algebras with balanced double pseudocomplementation, consisting of those algebras of type where is an Ockham algebra, is a double p -algebra, and the operations and are linked by the identities [ f ( x )]* = [ f ( x )] + = f 2 ( x ), f ( x *) = x ** and f ( x + ) = x ++ . We give a description of the (...)
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  6. T. S. Blyth & Jie Fang (2007). Congruence Coherent Symmetric Extended de Morgan Algebras. Studia Logica 87 (1):51 - 63.
    An algebra A is said to be congruence coherent if every subalgebra of A that contains a class of some congruence on A is a union of -classes. This property has been investigated in several varieties of lattice-based algebras. These include, for example, de Morgan algebras, p-algebras, double p-algebras, and double MS-algebras. Here we determine precisely when the property holds in the class of symmetric extended de Morgan algebras.
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  7. Donald Willison, Moira Kapral, Pierrot Peladeau, Janice Richards, Jiming Fang & Frank Silver (2006). Variation in Recruitment Across Sites in a Consent-Based Clinical Data Registry: Lessons From the Canadian Stroke Network. [REVIEW] BMC Medical Ethics 7 (1):1-8.
    Background In earlier work, we found important selection biases when we tried to obtain consent for participation in a national stroke registry. Recognizing that not all registries will be exempt from requiring consent for participation, we examine here in greater depth the reasons for the poor accrual of patients from a systems perspective with a view to obtaining as representative sample as possible. Methods We determined the percent of eligible patients who were approached to participate and, among those approached, the (...)
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  8. Joong Fang (1997). Kant and Mathematics Today: Between Epistemology and Exact Sciences. Edwin Mellen Press.
  9. J. Fang (1989). A REJOINDER: “Unum Post Aliud”. Philosophia Mathematica (2):236-245.
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  10. J. Fang (1989). “DEUS EX MACHINA” REDIVIVUS: The “Synthetic A Priori” in the Computer Age. Philosophia Mathematica (2):217-232.
  11. J. Fang (1989). Illiteracy, Innumeracy, … Idiocy?! Philosophia Mathematica (1):86-100.
  12. J. Fang (1988). Between Philosophy and Mathematics: Their Parallel on a "Parallax". Philosophica 42.
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  13. J. Fang (1988). Between Philosophy and Mathematics: Their Parallel on a Parallax in Recent Issues in the Philosophy of Mathematics I. Philosophica 42:165-185.
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  14. J. Fang (1988). The Poverty of Philosophy: &Quot;ethics and Mathematics&Quot;. Philosophia Mathematica 3 (2):59-86.
    For a solid case in the much neglected area of study, morals of knowledge in concrete, mathematicians are asked to face squarely the well-known fact since archimedes: the status of mathematics as a handmaid of military science, as is exemplified best today by computer scientists (who do know exactly how their product is immediately gobbled up by the military). also at issue here is the question: is the science less guilty of war crime if employed against the humanity in entirety (...)
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  15. Joong Fang (1988). The Poverty of Philosophy Ii: "Evolution" Versus "Revolution". Philosophia Mathematica 3:59-86.
    T s kuhn's theory is full of conspicuous flaws for all the immense popularity of his very thin book (perhaps because of it?) such that, however dubious, it has become a "paradigm" itself for an enormous number of (equally dubious) papers. pointed out in no uncertain terms here are then only two of its many "flaws": kuhn's unawareness of committing his cardinal sin of "historical circularity" (between his philosophy and history of science), and, because of this unawareness, his utterly a- (...)
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  16. J. Fang (1987). The “Needham Question”: Toward a “Sociology of Mathematics”. Philosophia Mathematica (2):180-210.
  17. J. Fang (1987). The “User-Hostile” Logic: “Logic Versus Illogic”. Philosophia Mathematica (1):77-109.
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  18. J. Fang (1986). Kant as “Mathematiker”. Philosophia Mathematica (1-2):63-119.
  19. J. Fang (1980). A “Mathematical Talent” in the Age of Androgyny. Philosophia Mathematica (1):50-96.
  20. J. Fang (1978). Mathematics and “Das Philosophieren”. Philosophia Mathematica (1):23-55.
  21. J. Fang (1978). The Politics of the Infinite. Philosophia Mathematica (1):127-165.
  22. J. Fang (1976). Mathematicians, Man or Woman: Exercises in a “Verstehen-Approach”. Philosophia Mathematica (1):15-72.
  23. J. Fang (1976). Woman and Mathematics, Past and Present. Philosophia Mathematica (1):5-14.
  24. J. Fang (1976). Women and the so-Called “Mathematical Talent”: A Prelude to Sociopsychology. Philosophia Mathematica (1):130-170.
  25. J. Fang (1975). “J'accuse …”: A Politics of Mathematics. Philosophia Mathematica (2):124-148.
  26. J. Fang (1975). Per Analogiam Vs Per Definitionem Relative to the Patterns of Discovery. Philosophia Mathematica (1):5-22.
  27. J. Fang (1974). Mathematical Existence: A Reorientation. Philosophia Mathematica (1-2):5-8.
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  28. J. Fang (1974). The Nature of Sociocultural Existence: A Prologue. Philosophia Mathematica (1-2):127-144.
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  29. J. Fang (1974). Varieties of Existence. Philosophia Mathematica (1-2):79-96.
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  30. J. Fang (1972). Towards a Certain “Contextualism” II. (Foresight Vs. Hindsight) Vs. Insight. Philosophia Mathematica (2):158-167.
  31. J. Fang (1972). Towards a Certain “Contextualism”. Philosophia Mathematica (1):53-92.
  32. Joong Fang (1972). Philosophie der Beschreibung. Journal of the History of Philosophy 10 (2):243-246.
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  33. J. Fang (1971). A Selective Bibliography : 1940–1970. Philosophia Mathematica (1-2):1-48.
  34. J. Fang (1970). The Kantian “Myth”. Southern Journal of Philosophy 8 (1):91-94.
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  35. J. Fang (1970). New Books. [REVIEW] Mind 79 (315):470-471.
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  36. J. Fang (1970). The Axiomatic Method in Exposition and Exploration. Philosophia Mathematica (1-2):13-24.
  37. Joong Fang (1970). Towards a Philosophy of Modern Mathematics. [Hauppauge, N.Y.]Paideia.
     
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  38. W. W. Mellor, Leslie Griffiths, Nicholas Griffin, John Hick, Jonathan Harrison, J. Fang, Morris Weitz, E. J. Furlong, Ian Tipton & Bernard Mayo (1970). New Books. [REVIEW] Mind 79 (315):461-479.
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  39. J. Fang (1969). Hilbert's Problems. Philosophia Mathematica (1-2):38-53.
  40. J. Fang (1967). What is, and Ought to Be, Philosophy of Mathematics? Philosophia Mathematica (1-2):71-75.
  41. J. Fang (1966). What is, and Ought to Be, History of Mathematics? Philosophia Mathematica (1-2):39-44.
  42. J. Fang (1965). Aftermath of New Math: A Philosophical Rejoinder. Philosophia Mathematica (2):88-92.
  43. J. Fang (1965). Kant and Modern Mathematics. Philosophia Mathematica (2):57-68.
  44. J. Fang (1964). Certain “Nonbooks” on Mathematics. Philosophia Mathematica (2):113-117.