General Information | Syllabus | HW Assignments |
Class will not necessarily meet on the days listed here; in particular
some meetings will probably be canceled and replaced by X-hours.
Each week's schedule will be set by the end of the preceding week.
On the first week we meet on Friday at the regular time (11:15-12:20)
and then on Saturday (Jan 6) from 9:15-10:20 am.
Lectures | Readings | Brief Description |
---|---|---|
1/5 | Friday: Section 1.1 | What this course is about; then, sentential logic and well-formed formulas. |
1/6 | YES: Saturday at 9:15! Section 1.2 | Sentential logic and truth tables. |
1/8 | Monday: Sections 1.5, 1.6 | Complete sets of operations; circuits. |
1/10 | Wednesday: Section 1.7 | The Compactness Theorem. |
1/12 | Friday: Section 1.7 | Decidability and Effective Enumeration. |
1/15 | (Monday) No class today (Martin Luther King Jr. Day.) | |
1/16 (x-hour) | Tuesday Noon-12:50pm: 2.1 | Language of first order logic. |
1/17 | Wednesday: Sections 2.1 and 2.2 | Terms, atomic formulas, wffs and sentences. |
1/19 | Friday: Section 2.2 | Truth, models and definability. |
1/22 | Monday | Some important mathematical structures. |
1/24 | Wednesday: Section 2.2 | More mathematical structures. |
1/26 | Friday: Section 2.2 | Definability of relations and functions; universal sentences. |
1/29 | Monday: Section 2.2 | Logical implication. |
1/30 | Tuesday: OPTIONAL | X-hour review session. |
1/31 | Wednesday: Section 2.4 | More logical implication. |
2/2 | Friday: Mid-term exam (in class) | |
2/5 | Monday: Section 2.4 | Deductions. |
2/6 (x-hour) | Tuesday: Section 2.4 | Deductions. |
2/7 | Wednesday: Section 2.5 | Soundness. |
2/9 | No class today (Winter Carnival.) | |
2/12 | Monday | Proof of Completeness. |
2/14 | Wednesday | snow day |
2/16 | Friday | Consequences of Completeness |
2/19 | Monday | Ramsey's Theorem and Compactness |
2/21 | Wednesday | Completeness and the Los-Vaught Test |
2/23 | Friday | Begin: Incompleteness and Undecidability (3.3, 3.4, 3.5). |
2/26 | Monday | The Axioms of A_E |
2/28 | Wednesday | Representability |
3/2 | Friday | Recursion |
3/5 | Monday | Incompleteness Wind-up |
2/6 (x-hour) | Tuesday: Optional X-hour | Bring your questions |
3/7 | Wednesday: Last day of class | The 0-1 Law |
3/10 | Sat 8:00 am: Final Exam | in Haldeman 028 (our regular classroom) |
Pete Winkler
Last updated June 25, 2009 14:49:00 EDT