Logic
| Keywords |
| Classification |
Keyword |
| OFICIAL |
Philosophy |
Instance: 2025/2026 - 1S
Cycles of Study/Courses
| Acronym |
No. of Students |
Study Plan |
Curricular Years |
Credits UCN |
Credits ECTS |
Contact hours |
Total Time |
| CINF |
57 |
Study plan |
1 |
- |
6 |
41 |
162 |
Teaching Staff - Responsibilities
Teaching language
Suitable for English-speaking students
Objectives
Logic is the systematic study of valid inference. In this course, an introduction is given to this study, which includes propositional logic and predicate logic. It is intended that students acquire some of the essential concepts of logic, as well as certain formal methods to represent and evaluate arguments and reasoning, in order to subsequently apply it in the structuring of indexation languages, in the analysis of information systems and in information retrieval.
Learning outcomes and competences
Upon successful completion of this course unit, students will:
- Determine the logical structure of natural language arguments, identifying premises and conclusions.
- Understand basic concepts of logic, such as: argument, premise, conclusion, proposition, logical form, truth function, validity, soundness, counterexample, tautology, contradiction, contingency, equivalence, consistency, deduction, induction, logical consequence.
- Translate arguments from natural language into the language of Propositional Logic and Predicate Logic.
- Determine the validity of arguments using (i) truth tables, (ii) derivations/natural deduction, and/or (iii) trees.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
n/a
Program
1. Introduction to logic
1.1 What is logic?
1.2 Arguments and propositions
1.3 Validity and soundness
1.4 Deduction vs. induction
2. Propositional Logic (PL)
2.1 The language of PL
2.2 The semantics of PL
2.3 Truth tables
2.4 Valid inferences and derivations in PL
2.5 Tree method for PL
3. Predicate Logic (PredL)
3.1 Reference and predication
3.2 The language of PredL
3.3 The semantics of PredL
3.4 Decision procedures in PredL
Mandatory literature
Guttenplan , Samuel;
The languages of logic : an introduction to formal logic. ISBN: 1-55786-988-X
Newton-Smith , William Herbert;
Lógica : um curso introdutório. ISBN: 972-662-609-9
Forbes , Graeme;
Modern Logic : a text in elementary symbolic logic. ISBN: 0-19-508029-7
Nicholas Smith; Logic: The Laws of Truth, Princeton University Press, 2012
Complementary Bibliography
Murcho , Desidério;
Lógica elementar : raciocínio, linguagem e realidade. ISBN: 978-972-44-2106-3
Beall, Jc; Logic: the basics, Routledge, 2010
Peter Smith; An Introduction to Formal Logic, Cambridge University Press, 2020
Tim Button & P.D.Magnus; forall x: An Introduction to Formal Logic, https://forallx.openlogicproject.org/, 2021
Russell Marcus; Introduction to Formal Logic, Oxford University Press, 2018
Teaching methods and learning activities
Theoretical-practical classes. Lectures and class discussion of particularly relevant cases and examples; realization of exercises with analysis and/or comparison of the results obtained. The participation of students is required in the discussion of examples and in the resolution of exercises.
keywords
Humanities > Philosophy > Epistemology
Evaluation Type
Distributed evaluation without final exam
Assessment Components
| Designation |
Weight (%) |
| Teste |
100,00 |
| Total: |
100,00 |
Amount of time allocated to each course unit
| Designation |
Time (hours) |
| Estudo autónomo |
121,00 |
| Frequência das aulas |
41,00 |
| Total: |
162,00 |
Eligibility for exams
According to FLUP regulation.
Calculation formula of final grade
Semester grading:
- Three written tests (20% + 40% + 40%).
Supplementary examination: Students who do not take the semester evaluation, or who have a negative classification in it, may still take a supplementary exam.
Examinations or Special Assignments
Tests/exam are realized separatedly/with more time/with digital supports, according to student's necessities.
Internship work/project
n/a
Special assessment (TE, DA, ...)
Test realized separately/with more time/with digital support, according to student's necessities.
Classification improvement
Grade improvement possible by taking the written examination (entire exame) in the second evaluation period.
Observations
n/a