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1

On Four Semantic Antinomies and Their „Solutions”

100%

Żabski E.

Filozofia Nauki

|

2004

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vol. 12

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issue 2

89-99

PL

The Liar, Berry's, Richard's and Grellling's antinomies are presented and ana-lysed in this article. Three non-classical sentential calculi are presented, too. The author also discussed these calculi from the point of view of their application for the solutions of these antinomies.

2

Regarding „Algebraic Semantics for the Nihilistic Accounts of Predicates”

100%

Żabski E.

Filozofia Nauki

|

1994

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vol. 2

|

issue 2

149-150

3

What Do We Know about Values?

100%

Żabski E.

Filozofia Nauki

|

2005

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vol. 13

|

issue 1

5-14

PL

An axiomatic theory of values is presented in this article. The basis of this theory is Czeżowski's idea of values.

4

Is the Principle of Non-contradiction „the Surest Rule of Thinking and Being”?

100%

Żabski E.

Filozofia Nauki

|

2004

|

vol. 12

|

issue 1

99-107

PL

Various arguments for and against principles of non-contradictions: ontological and logical are presented in this article. Two non-classical sentential calculi, in which logical principles of non-contradictions are not effective, are presented too.

5

There is Something that Does Not Exist: An Attempt to Solve the Riddle of Being

100%

Żabski E.

Filozofia Nauki

|

1997

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vol. 5

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issue 2

53-67

PL

In the article the formalization of a certain fragment of ontology is presented. The axiomatic definition of property and few definitions of the notion of existence are given. The opinion about two kinds of existence is asserted.

6

An Algebraic Semantics for Nihilistic Functional Calculi

100%

Żabski E.

Filozofia Nauki

|

1994

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vol. 2

|

issue 1

67-76

PL

The paper presents seven nihilistic functional calculi (NFC), founded on nihilistic propositional calculi. NFC are characterized from the syntactic and semantic points of view. For each of NFC both points of view are proved to define the same sets of formulas.

7

An Algebraic Semantics for the Nihilistic Propositional Calculi

100%

Żabski E.

Filozofia Nauki

|

1993

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vol. 1

|

issue 4

55-81

PL

From a formal point of view, the nihilistic propositional calculi, called in this text „npc”, are such propositional calculi that include three unary propositional conectives: T, F, ~, and one binary propositional connective ≡. They read respectively: true, false, untrue that, if and only if. Their theorems are, mong other things, such expressions as: Tp ≡ p, Fp ≡ ~p, with p being a propositional variable. The four npc are presented in this work, i.e. on two-valued, two three-valued, and one four-valued. Moreover, two of them are also paraconsistent calculi. Npc are constructed by means of the axiomatic method. Following the presentation of npc axioms, the four so called n-algebras are introduced. The npc axioms are proved to be adequate to appropriate n-algebras, i.e. sets of theorems and tautologies of each npc are identical.

8

An Attempt of the Ego’s Axiomatic Conception

100%

Żabski E.

Filozofia Nauki

|

2011

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vol. 19

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issue 3

63-69

PL

Psychologists use identity’s and Ego’s conceptions. The first conception is not clear, the second one from logical point of view is not correct. The aim of this article is to provide the definition of these two conceptions. Let: 1. P(=) is psychological (logical) identity’s indication2. o, o 1 , o 2 ,.. (e, e 1 , e 2 ,..) are people’s (Ego’s) variables3. j is the function’s indication. The expressions: j(o) (j (o i )), dla i>0, we read:person’s Ego o (o i ).The psychological identity’s definition provided in the article is as follows:(P 1 ) ∀o (oPo),(P 2 ) ∀o 1 ∀o 2 (o 1 Po 2 → o 2 Po 1 ),(P 3 ) ∀o 1 ∀o 2 ∀o 3 (o 1 Po 2 ∧ o 2 Po 3 → o 1 Po 3 ),(P 4 ) ∀o∀o 1 ∀o 2 ∀o 3 ∀R [(oRo) ∧ (o 1 Ro 2 → o 2 Ro 1 ) ∧ (o 1 Ro 2 ∧ o 2 Ro 3 →o 1 Ro 3 ) ∧ (o 1 Po 2 → o 1 Ro 2 )].And the Ego is defined as follows:(I) ∀e (e = e),(J 1 ) ∀e∃o [j(o) = e],(J 2 ) ∀e∃o [j(o) = e],(J 3 ) ∀o 1 ∀o 2 [j(o 1 ) = j(o 2 ) ≡ o 1 Po 2 ],(J 4 ) ∀e∀o (e ≠ o),(J 5 ) ∀e∀o ~ (ePo),(J 6 ) ∀e 1 ∀e 2 ~ (e 1 Pe 2 ).

9

Some Remarks on the Principle of Bivalence, the Principle of Contradiction and the Principle of Rxcluded Middle

100%

Żabski E.

Filozofia Nauki

|

1997

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vol. 5

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issue 4

35-41

PL

In the article some known arguments against the principle of bivalence and the principle of excluded middle are recalled and examined. New arguments against the principle of contradiction are also presented.

10

The note about the Ship of Theseus Paradox and about genidentity

100%

Żabski E.

Filozofia Nauki

|

2008

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vol. 16

|

issue 1

75-82

PL

In this article the author solves the Ship of Theseus Paradox. He gives also the axiomatic definition of genidentity.

11

Beth's Semantic Tables for Some Non-classical Sentential Calculus

100%

Żabski E.

Filozofia Nauki

|

2014

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vol. 22

|

issue 2

55-72

PL

In the paper the author presents a slightly modified Beth's method that helps to prove if a formula is or is not a tautology of the following non-classical sentential calculi: Łukasiewicz's three valued sentential calculus (Ł3), Priest's paradox logic (LP), and nihilistic sentential calculi: n'1, n'3, n'4, n'5.

12

Attempts to Use Nihilistic Propositional Calculus in Physics

75%

Żabski E.

Filozofia Nauki

|

2001

|

vol. 9

|

issue 4

65-72

PL

13

An Attempt at an Axiomatic Approach of Relative Causation

75%

Żabski E.

Filozofia Nauki

|

2002

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vol. 10

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issue 1

47-54

PL

14

On Antinomies

38%

Żabski E.

Filozofia Nauki

|

2005

|

vol. 13

|

issue 1

119-122

PL

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14 Żabski E.

On Four Semantic Antinomies and Their „Solutions”

Regarding „Algebraic Semantics for the Nihilistic Accounts of Predicates”

What Do We Know about Values?

Is the Principle of Non-contradiction „the Surest Rule of Thinking and Being”?

There is Something that Does Not Exist: An Attempt to Solve the Riddle of Being

An Algebraic Semantics for Nihilistic Functional Calculi

An Algebraic Semantics for the Nihilistic Propositional Calculi

An Attempt of the Ego’s Axiomatic Conception

Some Remarks on the Principle of Bivalence, the Principle of Contradiction and the Principle of Rxcluded Middle

The note about the Ship of Theseus Paradox and about genidentity

Beth's Semantic Tables for Some Non-classical Sentential Calculus

Attempts to Use Nihilistic Propositional Calculus in Physics

An Attempt at an Axiomatic Approach of Relative Causation

On Antinomies