The forms of the statement and its types — Philosophy STD 12 Arts — Question
Gujarat BoardEnglish MediumSTD 12 ArtsPhilosophyThe forms of the statement and its types5 Marks
Question
Explain the form for the statement and its substitution.
✓
Answer
Logic examines the validity of an argument. There are metaphorical rules in logic to check authenticity. To understand these metaphorical rules, it is necessary to understand two things:
$1.$ The form for the statement and $2.$ The substitution of the form for the statement.
$1.$ Form for statement: Form for statement is a sequence of symbols that have statistical variables and their
If different statements are put in place, one result is obtained. E.g. $T.\ p\ \rightarrow \ q, p\ \&\ q, p$ etc. are forms for the statement.
A statement can be arranged in the form of a form, whether it is true or false. A statement obtained in this way is true or false.
$2.$ Repositioning of the form for the statement: Repositioning of the form for the statement is a statement obtained from any form for the statement.
Since any statement can be substituted for legislative variables, there are a number of substitutions for any one form of statement.
All of the following statements $p\ \&\ q$ are substitutes for the same form:
Representation The statement symbol
$1.$ The Ganges is sacred and the Himalayas are scenic. $G\ \&\ H$
$2$. Meera is a devotee of Krishna and Radha is a lover of Krishna. $M\ \&\ R$
Thus, replacing any legislative variation in any form for a statement gives a substitution of the form for the statement.
A simple, composite or complex compound statement can be substituted for the legislative variation that occurs in that form when obtaining a substitution for any form; But the logical factors that come in the form of a statement cannot be changed. That is why these factors are called logical constant.
Simple, composite and complex compound substitutions for a statement:
$1.$ Simple form for statement: Simple substitutions for statements:
$p\ 1. N$
$2.\ D\ \&\ N$
$3.\ V\ \rightarrow\ G$
$2.$ Compound form for disruption: Simple substitutions for statements:
$p\ \&\ q\ 1.\ D\ \&\ N$
$2.\ (R\ \rightarrow\ N)\ \&\ G$
$3.\ (D\ \leftrightarrow\ V)\ \&\ (R\ v\ N)$
$3.$ Complex compound form for statement: Complex compound substitutions for statement:
$(p\ \&\ q)\ v\ r\ 1.\ (N\ \&\ G)\ v\ R$
$2.\ [(A\ v\ B)\ \&\ (M\ \rightarrow\ N)]\ v\ ( R\ \rightarrow\ S)$
$3.\ [( R\ \leftrightarrow\ S)\ \&\ F)\ v\ L$
Considering the above substitutions of forms for a simple, composite and complex joint statement, it can be said that there can be many substitutions for any one form of a statement.
There are many substitutions for any one form of statement. Not only that, but a single statement can also be a substitution of more than one form for a statement.
Form for statement Replacement of the form for the statement
$1.\ p\ 1.\ R\ v\ S$
$2.\ p\ v\ q\ 2.\ R \ v\ S$
Thus, a single statement can be a substitution of more than one form for a statement and a substitution of any one form for a statement can be many.
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