Is "When the Sun is Shining, Is it Hot?" a Logical Sentence?

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Discussion Overview

The discussion revolves around the logical status of the sentence "when the sun is shining, then it is hot." Participants explore whether this sentence qualifies as a logical sentence, examining its structure and implications within different logical frameworks.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions if the sentence qualifies as a logical sentence, suggesting it merely states a proposition without presenting an argument.
  • Another participant argues that the sentence is a meaningful declarative statement, referring to it as a proposition that can be true or false, but not inherently logical.
  • A further contribution introduces the idea of truth-functional logic (TFL) and predicate logic, suggesting that the sentence could be interpreted within these frameworks, with implications for its truth value depending on the context.
  • There is a mention of temporal logic as a potential avenue to explore the relationship between 'hotness' and the sun shining, indicating a possible dependence that could affect the sentence's truth value.

Areas of Agreement / Disagreement

Participants express differing views on whether the sentence is logical or merely propositional. There is no consensus on its classification, and multiple interpretations are presented without resolution.

Contextual Notes

Participants highlight the potential confusion arising from the structure of the sentence, particularly the use of "when-then." The discussion also reflects varying assumptions about what constitutes a logical argument versus a proposition.

Who May Find This Useful

This discussion may be of interest to those studying logic, philosophy of language, or anyone exploring the nuances of propositional statements and their interpretations within different logical systems.

iii
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Do the sentence "when the sun is shining then it is hot" is a logic sentence ?
 
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It merely states a proposition, rather than presenting any argument.
 
iii said:
when the sun is shining then it is hot
is a meaningful declarative sentence, its content/meaning is often referred to as a proposition, it states a fact [in a peculiar manner]
: "sun warms
[air]"
[the meaning of a sentence] a proposition has the property of being true/ false, not logical. [the unnecessary, redundant use of "when-then" may generate confusion].
Logical, can be only an ordered set of sentences: a deductive/ inductive argument.
A logical argument [has logical form] is valid and the conclusion, the conclusive proposition, is true
 
Last edited:
You can maybe consider two possible settings: truth-functional logic and predicate logic.

In TFL , an argument consists of two collections of sentences ; the first being the premises, and the second one being the conclusion, and where the premises purport to prove the conclusion, so that a truth assignment in {T,F} can be made of the sentence.
Then maybe your statement is an argument with an empty set of premises, and you can declare it to be either true or false at will.

In Predicate logic, I guess this could be a sentence within an interpretation,where there are predicates for 'hot', for shining, and maybe some non-logical inference rule that tells us what
happens when the sunis shining, and , then, within the interpretation, one can conclude that the sentence is true or false.

Maybe we could also use temporal logic to show the dependence of 'hotness' when the sun shining somehow.
 

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