I T LOOKS LIKE A DUCK ... CASES OF IMPLICATION M ARTIN A HER M - - PowerPoint PPT Presentation

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I T LOOKS LIKE A DUCK ... CASES OF IMPLICATION M ARTIN A HER M - - PowerPoint PPT Presentation

Jan 01, 2024 32 likes •323 views

S OME FUNNY CASES OF IMPLICATION M ARTIN A HER M ATERIAL IMPLICATION F ALSE ANTECEDENT S OME FUNNY CASES OF IMPLICATION T RUE CONSEQUENT C ONTRAPOSITION C ONTRARIES S TRENGTHENING THE A NTECEDENT T RANSITIVE LUCK S PLITS R AMSEY K RATZER S

slide-1
SLIDE 1

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

SOME FUNNY CASES OF IMPLICATION

slide-2
SLIDE 2

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

INTRODUCTION

INDICATIVE CONDITIONALS

!

slide-3
SLIDE 3

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

FALSE ANTECEDENT

| = !

FIGURE 1: FIGURE 2: !

slide-4
SLIDE 4

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

TRUE CONSEQUENT

| = !

FIGURE 3: FIGURE 4: !

slide-5
SLIDE 5

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

CONTRAPOSITION

FIGURE 5: ! FIGURE 6: !

slide-6
SLIDE 6

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

CONTRAPOSITION

CONTRAPOSITION: ! ⌘ !

slide-7
SLIDE 7

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

CONTRARIES

BROMBERGER ON: !

FIGURE 7: ! FIGURE 8:

slide-8
SLIDE 8

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

STRENGTHENING THE ANTECEDENT

STRENGTHENING THE ANTECEDENT

slide-9
SLIDE 9

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

STRENGTHENING THE ANTECEDENT

FIGURE 9: ! FIGURE 10: ( ^ ) !

slide-10
SLIDE 10

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

TRANSITIVE LUCK

LOTTERY REPRESENTATION

! ! !

slide-11
SLIDE 11

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

TRANSITIVE LUCK

FIGURE 11: ! ^ ! FIGURE 12: !

slide-12
SLIDE 12

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

SPLITTING RESPONSIBILITY

CONJUNCTION TO DISJUNCTION REPRESENTATION

( ^ ) ! | = ( ! )_( ! )

slide-13
SLIDE 13

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

SPLITTING RESPONSIBILITY

FIGURE 13: ( ^ ) ! FIGURE 14: ( ! )_( ! )

slide-14
SLIDE 14

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

RAMSEY

RAMSEY (1931) P.15A

slide-15
SLIDE 15

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

SUPPOSITIONAL CONDITIONALS

SUPPOSITIONAL CONDITIONALS EDGINGTON (2003)

slide-16
SLIDE 16

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

STANDARD MODAL LOGIC

QUANTIFICATION OVER POSSIBLE WORLDS

I I

KRATZER: THE MODAL BASE

I I

slide-17
SLIDE 17

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

KRATZER CONDITIONALS

CONDITIONAL

!

RESTRICTOR APPROACH

(⇤ )

slide-18
SLIDE 18

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

UPWARD MONOTONICITY IN KRATZER

SEMANTICS UPWARD MONOTONICITY OF QUANTIFIERS

8 ϕ ϕ | = ψ 8 ψ

INHERITANCE (CARIANI 2012)

ϕ | = ψ ⇤ϕ | = ⇤ψ

slide-19
SLIDE 19

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

UPWARD MONOTONICITY PUZZLES

ROSS’S PUZZLE

FIGURE 15: FIGURE 16: _

slide-20
SLIDE 20

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

  • PROF. PROCRASTINATE
  • PROF. PROCRASTINATE

REPRESENTATION

⇤( ^ ) ⇤ ⇤

slide-21
SLIDE 21

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

CONDITIONALS

CATCH 22 REPRESENTATION

! }

slide-22
SLIDE 22

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

ANDERSON

MODALS ANDERSONIAN MODALS

⇤ϕ = ϕ ! }ϕ = ϕ !

slide-23
SLIDE 23

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

ETERNAL DAMNATION

ETERNAL DAMNATION REPRESENTATION

^ | = | = !

slide-24
SLIDE 24

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

IT LOOKS LIKE A DUCK...

RELEVANT IMPLICATION

⇤ = ) } = )

slide-25
SLIDE 25

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

MONOTONICITY PUZZLES

BUT...

` ( ) ) ) (⇤ ) ⇤ )

slide-26
SLIDE 26

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

MONOTONICITY

ASHER, BONEVAC, BARKER, CARIANI, LASSITER MONOTONIC INFERENCES

slide-27
SLIDE 27

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

STATE OF THE ART

slide-28
SLIDE 28

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

BISCUIT CONDITIONALS

BISCUIT CONDITIONALS

slide-29
SLIDE 29

SOME FUNNY

CASES OF IMPLICATION

MARTIN AHER MATERIAL

IMPLICATION

FALSE ANTECEDENT TRUE CONSEQUENT CONTRAPOSITION CONTRARIES STRENGTHENING THE ANTECEDENT TRANSITIVE LUCK SPLITS RAMSEY

KRATZER

STANDARD MODAL LOGIC PROBLEMS FOR KRATZER

ALTERNATIVE

MODAL LOGICS

ANDERSON ETERNAL DAMNATION NOT MATERIAL IMPLICATION

IMPLICATION

UPWARD MONOTONIC NO MORE MONOTONICITY

MORE

CONDITIONALS

THANK YOU