notebook/notes/formal-system/logical-system/index.md

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---
title: Logical Systems
TARGET DECK: Obsidian::STEM
FILE TAGS: formal-system
tags:
- formal-system
- logic
---
## Overview
A deductive system found in certain formal systems. Logical systems are syntactic and semantic. The syntax of WFFs found in these systems are interpretable and often defined recursively (e.g. propositional and predicate logic).
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Basic
*Why* do we say formal systems using logical systems are semantic?
Back: An interpretation is usually attached to the WFFs of the language.
Reference: “Formal System,” in _Wikipedia_, May 10, 2024, [https://en.wikipedia.org/w/index.php?title=Formal_system](https://en.wikipedia.org/w/index.php?title=Formal_system&oldid=1223254138).
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Cloze
Logical systems are {syntactic} and {semantic}.
Reference: “Formal System,” in _Wikipedia_, May 10, 2024, [https://en.wikipedia.org/w/index.php?title=Formal_system](https://en.wikipedia.org/w/index.php?title=Formal_system&oldid=1223254138).
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Basic
What kind of deductive system is propositional logic usually categorized as?
Back: A logical system.
Reference: “Formal System,” in _Wikipedia_, May 10, 2024, [https://en.wikipedia.org/w/index.php?title=Formal_system](https://en.wikipedia.org/w/index.php?title=Formal_system&oldid=1223254138).
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Basic
What kind of deductive system is predicate logic usually categorized as?
Back: A logical system.
Reference: “Formal System,” in _Wikipedia_, May 10, 2024, [https://en.wikipedia.org/w/index.php?title=Formal_system](https://en.wikipedia.org/w/index.php?title=Formal_system&oldid=1223254138).
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## Bibliography
* “Formal System,” in _Wikipedia_, May 10, 2024, [https://en.wikipedia.org/w/index.php?title=Formal_system](https://en.wikipedia.org/w/index.php?title=Formal_system&oldid=1223254138).