From 337d6fcd4788b9a16353f05f6c1ef13e9722ac85 Mon Sep 17 00:00:00 2001 From: David Doret Date: Tue, 22 Aug 2023 23:34:35 +0200 Subject: [PATCH] issue #143: enhance disjunction-introduction (left and right) inference-rules + empty restructured pages to prepare the documentation of interence-rules --- .../biconditional_elimination_left.doctree | Bin 0 -> 2543 bytes .../biconditional_elimination_right.doctree | Bin 0 -> 2548 bytes .../biconditional_introduction.doctree | Bin 0 -> 2523 bytes .../conjunction_elimination_left.doctree | Bin 0 -> 2533 bytes .../conjunction_elimination_right.doctree | Bin 0 -> 2538 bytes .../double_negation_elimination.doctree | Bin 0 -> 2528 bytes docs/build/.doctrees/elimination_rule.doctree | Bin 0 -> 11515 bytes .../build/.doctrees/introduction_rule.doctree | Bin 0 -> 12247 bytes .../biconditional_elimination_left.rst.txt | 2 + .../biconditional_elimination_right.rst.txt | 2 + .../biconditional_introduction.rst.txt | 2 + 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a/docs/build/_sources/biconditional_elimination_left.rst.txt b/docs/build/_sources/biconditional_elimination_left.rst.txt new file mode 100644 index 000000000..a2e62cb79 --- /dev/null +++ b/docs/build/_sources/biconditional_elimination_left.rst.txt @@ -0,0 +1,2 @@ +biconditional-elimination-left +=============================== \ No newline at end of file diff --git a/docs/build/_sources/biconditional_elimination_right.rst.txt b/docs/build/_sources/biconditional_elimination_right.rst.txt new file mode 100644 index 000000000..50c67e6f1 --- /dev/null +++ b/docs/build/_sources/biconditional_elimination_right.rst.txt @@ -0,0 +1,2 @@ +biconditional-elimination-right +=============================== \ No newline at end of file diff --git a/docs/build/_sources/biconditional_introduction.rst.txt b/docs/build/_sources/biconditional_introduction.rst.txt new file mode 100644 index 000000000..1a14ce718 --- /dev/null +++ b/docs/build/_sources/biconditional_introduction.rst.txt @@ -0,0 +1,2 @@ +biconditional-introduction +=============================== \ No newline at end of file diff --git a/docs/build/_sources/conjunction_elimination_left.rst.txt b/docs/build/_sources/conjunction_elimination_left.rst.txt new file mode 100644 index 000000000..9f5ee24c5 --- /dev/null +++ b/docs/build/_sources/conjunction_elimination_left.rst.txt @@ -0,0 +1,2 @@ +conjunction-elimination-left +=============================== \ No newline at end of file diff --git a/docs/build/_sources/conjunction_elimination_right.rst.txt b/docs/build/_sources/conjunction_elimination_right.rst.txt new file mode 100644 index 000000000..3a59b13ca --- /dev/null +++ b/docs/build/_sources/conjunction_elimination_right.rst.txt @@ -0,0 +1,2 @@ +conjunction-elimination-right +=============================== \ No newline at end of file diff --git a/docs/build/_sources/double_negation_elimination.rst.txt b/docs/build/_sources/double_negation_elimination.rst.txt new file mode 100644 index 000000000..cd55ee472 --- /dev/null +++ b/docs/build/_sources/double_negation_elimination.rst.txt @@ -0,0 +1,2 @@ +double-negation-elimination +=============================== \ No newline at end of file diff --git a/docs/build/_sources/elimination_rule.rst.txt b/docs/build/_sources/elimination_rule.rst.txt new file mode 100644 index 000000000..1ee0901f5 --- /dev/null +++ b/docs/build/_sources/elimination_rule.rst.txt @@ -0,0 +1,28 @@ +elimination-rule +================== + +Definition +---------- + +An *introduction-rule* is an :doc:`inference_rule` that allows to derive a formula-statement of some syntactic form from some define premises. + +List of well-known *introduction-rules* +-------------------------------------- + +* :doc:`biconditional_elimination_left` +* :doc:`biconditional_elimination_right` +* :doc:`conjunction_elimination_left` +* :doc:`conjunction_elimination_right` +* :doc:`disjunction_elimination` +* :doc:`double_negation_elimination` + +Quotes +------- + + "Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms." + - :footcite:p:`porter_2008_handbookknowledgerepresentation`, p. 6-7 + +Bibliography +------------ + +.. footbibliography:: diff --git a/docs/build/_sources/introduction_rule.rst.txt b/docs/build/_sources/introduction_rule.rst.txt new file mode 100644 index 000000000..8266c3a0f --- /dev/null +++ b/docs/build/_sources/introduction_rule.rst.txt @@ -0,0 +1,33 @@ +introduction-rule +================== + +Definition +---------- + +An *introduction-rule* is an :doc:`inference_rule` that allows to derive a formula-statement of some syntactic form from some define premises. + +List of well-known *introduction-rules* +-------------------------------------- + +* :doc:`biconditional_introduction` +* :doc:`conjunction_introduction` +* :doc:`disjunction_introduction_left` +* :doc:`disjunction_introduction_right` +* :doc:`double_negation_introduction` + +Quotes +------- + + "Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms." + - :footcite:p:`porter_2008_handbookknowledgerepresentation`, p. 6-7 + +See also +--------- + +* :doc:`elimination_rule` +* :doc:`inference_rule` + +Bibliography +------------ + +.. footbibliography:: diff --git a/docs/build/biconditional_elimination_left.html b/docs/build/biconditional_elimination_left.html new file mode 100644 index 000000000..6d60a033f --- /dev/null +++ b/docs/build/biconditional_elimination_left.html @@ -0,0 +1,231 @@ + + + + + + + + +biconditional-elimination-left | punctilious 1.0.0 documentation + + + + + + + +

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double-negation-elimination

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elimination-rule

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Definition

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An introduction-rule is an inference-rule that allows to derive a formula-statement of some syntactic form from some define premises.

+
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+

List of well-known introduction-rules

+ +
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Quotes

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“Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms.” +- [1], p. 6-7

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introduction-rule

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+

Definition

+

An introduction-rule is an inference-rule that allows to derive a formula-statement of some syntactic form from some define premises.

+
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+

List of well-known introduction-rules

+ +
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+

Quotes

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+

“Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms.” +- [1], p. 6-7

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