OBJECTIVE PROPOSITION IN THE LOGIC OF THE OMISSION OF IDENTITY AND THE SECOND ORDER LOGIC OF HENKIN

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FALLAHI ASADULLAH

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Paper Information

Journal: Ma`rifat Falsafi Year:2010 | Volume:7 | Issue:4 (28) Page(s): 39-56

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Information Journal Paper

Title

OBJECTIVE PROPOSITION IN THE LOGIC OF THE OMISSION OF IDENTITY AND THE SECOND ORDER LOGIC OF HENKIN

Author(s)

FALLAHI ASADULLAH | Issue Writer Certificate

Keywords

OBJECTIVE PROPOSITIONQ3

STANDARD SECOND-ORDER LOGICQ3

SECOND-ORDER LOGIC OF HENKINQ3

PRIMARY INTELLIGIBLESQ3

SECONDARY INTELLIGIBLESQ3

LOGIC OF THE OMISSION OF IDENTITYQ2

Abstract

The author of the article has already analyzed Objective and verity propositions within the framework of modern logic. In one of them, he uses modern modal logic for formalizing verity propositions, and in the second one, he uses the undefined predicate of existence for formulating OBJECTIVE PROPOSITIONs. The second article introduced some definitions for existence in identity logic and in second-order logic, but was unable to use such definitions in its analysis of the OBJECTIVE PROPOSITIONs.In this article, basic flaws in identity logic as well as second-order logic in the analysis of OBJECTIVE PROPOSITIONs are shown, and a weaker logic, called "the LOGIC OF THE OMISSION OF IDENTITY" is suggested which is believed to be able to express OBJECTIVE PROPOSITIONs. Furthermore, a weaker logic, compared to the STANDARD SECOND-ORDER LOGIC, called "second-order logic of Henkin" is employed, and its ability to formulate OBJECTIVE PROPOSITIONs is demonstrated. It argues for the idea that logic of Henkin is congruent with PRIMARY INTELLIGIBLES, while standard logic is harmonious with SECONDARY INTELLIGIBLES.

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APA: Copy

FALLAHI, ASADULLAH. (2010). OBJECTIVE PROPOSITION IN THE LOGIC OF THE OMISSION OF IDENTITY AND THE SECOND ORDER LOGIC OF HENKIN. MARIFAT-I FALSAFI, 7(4 (28)), 39-56. SID. https://sid.ir/paper/123968/en

Vancouver: Copy

FALLAHI ASADULLAH. OBJECTIVE PROPOSITION IN THE LOGIC OF THE OMISSION OF IDENTITY AND THE SECOND ORDER LOGIC OF HENKIN. MARIFAT-I FALSAFI[Internet]. 2010;7(4 (28)):39-56. Available from: https://sid.ir/paper/123968/en

IEEE: Copy

ASADULLAH FALLAHI, “OBJECTIVE PROPOSITION IN THE LOGIC OF THE OMISSION OF IDENTITY AND THE SECOND ORDER LOGIC OF HENKIN,” MARIFAT-I FALSAFI, vol. 7, no. 4 (28), pp. 39–56, 2010, [Online]. Available: https://sid.ir/paper/123968/en

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