E. W. Adams, The logic of conditionals, Inquiry, vol.8, pp.166-197, 1965.

E. W. Adams, Probability and the logic of conditionals, Aspects of inductive logic, pp.265-316, 1966.

E. W. Adams, The logic of conditionals, 1975.

E. W. Adams, A primer of probability logic, 1998.

E. W. Adams and H. P. Levine, On the uncertainties transmitted from premises to conclusions in deductive inferences, Synthese, vol.30, pp.429-460, 1975.

A. Agresti, Categorical data analysis, 2002.

J. Baratgin and G. Politzer, Logic, probability and inference: a methodology for a new paradigm, Cognitive unconscious and human rationality, pp.119-142, 2016.

J. Baratgin, G. Politzer, D. E. Over, and T. Takahashi, The psychology of uncertainty and three-valued truth tables, Frontiers in Psychology, vol.9, 2018.

J. Bennett, A philosophical guide to conditionals, 2003.

S. Blamey, Partial logic, Handbook of philosophical logic, vol.III, pp.1-70, 1986.

M. D. Braine, On the relation between the natural logic of reasoning and standard logic, Psychological Review, vol.85, pp.1-21, 1978.

M. D. Braine and D. O'brien, A theory of if : Lexical entry, reasoning program, and pragmatic principles, Psychological Review, vol.98, pp.182-203, 1991.

J. P. Burgess, Review of J. Bennett, A philosophical guide to conditionals, Bulletin of Symbolic Logic, vol.10, pp.565-570, 2004.

N. Cruz, J. Baratgin, M. Oaksford, and D. E. Over, Bayesian reasoning with ifs and ands and ors, Frontiers in Psychology, vol.6, p.192, 2015.

N. Cruz, D. E. Over, M. Oaksford, and J. Baratgin, Centering and the meaning of conditionals, Proceedings of the 38th annual conference of the cognitive science society, pp.1104-1109, 2016.

B. De-finetti, The logic of probability, Philosophical Studies, vol.77, pp.181-190, 1995.

I. Douven, The evidential support theory of conditionals, Synthese, vol.164, pp.19-44, 2008.

I. Douven, Indicative conditionals, A companion to philosophical logic, pp.383-405, 2011.

I. Douven, The epistemology of indicative conditionals, 2016.

I. Douven, On de Finetti on iterated conditionals, Computational models of rationality, pp.265-279, 2016.

I. Douven, How to account for the oddness of missing-link conditionals, Synthese, vol.194, pp.1541-1554, 2017.

I. Douven, S. Elqayam, H. Singmann, and J. Van-wijnbergen-huitink, Conditionals and inferential connections: A hypothetical inferential theory, Cognitive Psychology, vol.101, pp.50-81, 2018.

I. Douven and S. Verbrugge, The Adams family, Cognition, vol.117, pp.302-318, 2010.

I. Douven and S. Verbrugge, The probabilities of conditionals revisited, Cognitive Science, vol.37, pp.711-730, 2013.

D. Edgington, Validity, uncertainty and vagueness, Analysis, vol.52, pp.193-204, 1992.

D. Edgington, On conditionals. Mind, vol.104, pp.235-329, 1995.

D. Edgington, Vagueness by degrees, Vagueness: A reader, pp.294-316, 1997.

D. Edgington, What if? Questions about conditionals. Mind & Language, vol.18, pp.380-401, 2003.

S. Elqayam and D. E. Over, New paradigm psychology of reasoning. Thinking & Reasoning, vol.19, pp.249-265, 2013.

J. Evans and . B. St, The heuristic-analytic theory of reasoning: Extension and evaluation, Psychonomic Bulletin & Review, vol.13, pp.378-395, 2006.

J. Evans and . B. St, Hypothetical thinking: Dual processes in reasoning and judgement, 2007.

J. Evans, . B. St, J. L. Barston, and P. Pollard, On the conflict between logic and belief in syllogistic reasoning, Memory & Cognition, vol.11, pp.295-306, 1983.

J. Evans, . B. St, S. J. Handley, H. Neilens, and D. E. Over, Thinking about conditionals: A study of individual differences, Memory & Cognition, vol.35, pp.1759-1771, 2007.

J. Evans, . B. St, S. J. Handley, and D. E. Over, Conditionals and conditional probability, Journal of Experimental Psychology: Learning, Memory, and Cognition, vol.29, pp.321-355, 2003.

J. Evans, . B. St, and D. E. Over, , 2004.

J. Evans, . B. St, and D. E. Over, Reasoning to and from belief: Deduction and induction are still distinct, Thinking & Reasoning, vol.19, pp.267-283, 2013.

J. Evans, . B. St, V. A. Thomspon, and D. E. Over, Uncertain deduction and conditional reasoning, Frontiers in Psychology, vol.6, p.398, 2015.

A. Fugard, N. Pfeifer, B. Mayerhofer, and G. Kleiter, How people interpret conditionals: Shifts toward the conditional event, Journal of Experimental Psychology: Learning, Memory, and Cognition, vol.37, pp.635-648, 2011.

L. E. Gazzo-castañeda and M. Knauff, The specificity of terms affects conditional reasoning. Thinking & Reasoning, in press, 2018.

A. Gibbard, Two recent theories of conditionals, pp.211-247, 1981.

A. Gilio and D. E. Over, The psychology of inferring conditionals from disjunctions: A probabilistic study, Journal of Mathematical Psychology, vol.56, pp.118-131, 2012.

A. Gilio and G. Sanfilippo, Conditional random quantities and compounds of conditionals, Studia Logica, vol.102, pp.709-729, 2014.

H. P. Grice, Indicative conditionals, his Studies in the way of words, pp.58-85, 1989.

F. Jackson, On assertion and indicative conditionals, Philosophical Review, vol.88, pp.565-589, 1979.

F. Jackson, Conditionals, 1987.

R. C. Jeffrey, Matter of fact conditionals, Proceedings of the Aristotelian Society (Supplementary Volumes), vol.65, pp.161-183, 1991.

W. Kneale and M. Kneale, The development of logic, 1962.

A. Kratzer, Conditionals, Papers from the parasession on pragmatics and grammatical theory, pp.115-135, 1986.

A. Kratzer, Conditionals, Semantik: Ein internationales Handbuch zeitgenössischer Forschung/Semantics: An international handbook of contemporary research, pp.651-656, 1991.

A. Kratzer, Modals and conditionals, 2012.

K. H. Krzy?anowska, P. J. Collins, and U. Hahn, Between a conditional's antecedent and its consequent: Discourse coherence vs. probabilistic relevance, Cognition, vol.164, pp.199-205, 2017.

K. H. Krzy?anowska, S. Wenmackers, and I. Douven, Rethinking Gibbard's riverboat argument, Studia Logica, vol.102, pp.771-792, 2014.

D. K. Lewis, Adverbs of quantification, Semantics of natural language, pp.169-218, 1975.

D. K. Lewis, Probabilities of conditionals and conditional probabilities. Philosophical Review, vol.85, pp.297-315, 1976.

D. K. Lewis, Counterfactual dependence and time's arrow. Noûs, vol.13, pp.455-476, 1979.

D. K. Lewis, Ordering semantics and premise semantics for counterfactuals, Journal of Philosophical Logic, vol.10, pp.217-234, 1981.

W. G. Lycan, Real conditionals, 2001.

J. Macfarlane, The Routledge companion to the philosophy of language, pp.132-142, 2012.

J. L. Mackie, Truth, probability and paradox: Studies in philosophical logic, 1973.

H. Markovits, P. De-chantal, and J. Brisson, Abstract reasoning and the interpretation of basic conditionals. Thinking & Reasoning, in press, 2018.

D. Marr, Vision. Cambridge MA, 1982.

B. Mates, Stoic logic, 1953.

M. Mcdermott, On the truth conditions of certain "if"-sentences, Philosophical Review, vol.105, pp.1-37, 1996.

V. Mcgee, A counterexample to modus ponens, Journal of Philosophy, vol.82, pp.462-471, 1985.

A. Merin, Unconditionals. Unpublished manuscript, 2007.

J. S. Mill, 1843/1872). A system of logic: Ratiocinative and inductive (eighth edn.). London: Longmans

P. Milne, Indicative conditionals, conditional probabilities, and the "defective truth-table": A request for more experiments, Thinking & Reasoning, vol.18, pp.196-224, 2012.

R. S. Nickerson, Conditional reasoning: The unruly syntactics, semantics, thematics, and pragmatics of "if, 2016.

R. S. Nickerson, D. H. Barch, and S. F. Butler, Evaluating conditional arguments with uncertain premises. Thinking & Reasoning, in press, 2018.

M. Oaksford and N. Chater, Conditional probability and the cognitive science of conditional reasoning, Mind & Language, vol.18, pp.359-379, 2003.

M. Oaksford and N. Chater, Bayesian rationality: The probabilistic approach to human reasoning, 2007.

K. Oberauer, A. Weidenfeld, and K. Fischer, What makes us believe a conditional? The roles of covariation and causality, Thinking & Reasoning, vol.13, pp.340-369, 2007.

D. E. Over and J. Baratgin, The "defective" truth table: Its past, present, and future, pp.15-28, 2017.

D. E. Over and N. Cruz, Probabilistic accounts of conditional reasoning, International handbook of thinking and reasoning, pp.434-450, 2018.

U. K. Hove,

D. E. Over, I. Douven, and S. Verbrugge, Scope ambiguities and conditionals. Thinking & Reasoning, vol.19, pp.284-307, 2013.

D. E. Over, J. Evans, and . B. St, The probability of conditionals: The psychological evidence, Mind & Language, vol.18, pp.340-358, 2003.

D. E. Over, J. Evans, . B. St, and S. Elqayam, Conditionals and non-constructive reasoning, Cognition and conditionals: Probability and logic in human thinking, pp.135-151, 2010.

D. E. Over, C. Hadjichristidis, J. Evans, . B. St, S. J. Handley et al., The probability of causal conditionals, Cognitive Psychology, vol.54, pp.62-97, 2007.

N. Pfeifer and I. Douven, Formal epistemology and the new paradigm psychology of reasoning, Review of Philosophy and Psychology, vol.5, pp.199-221, 2014.

N. Pfeifer and G. D. Kleiter, The conditional in mental probability logic, Cognition and conditionals: Probability and logic in human thinking, pp.153-173, 2010.

G. Politzer, D. E. Over, and J. Baratgin, Betting on conditionals. Thinking & Reasoning, vol.16, pp.172-197, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01015797

F. P. Ramsey, General propositions and causality, his Philosophical Papers, pp.145-163, 1929.

A. Rieger, A simple theory of conditionals, Analysis, vol.66, pp.233-240, 2006.

A. Rieger, Conditionals are material: The positive arguments, Synthese, vol.190, pp.3161-3174, 2013.

J. Rieskamp, The probabilistic nature of preferential choice, Journal of Experimental Psychology: Learning, Memory, and Cognition, vol.34, pp.1446-1465, 2008.

J. Rieskamp and P. E. Otto, SSL: A theory of how people learn to select strategies, Journal of Experimental Psychology: General, vol.135, pp.207-236, 2006.

D. Rothschild, Capturing the relationship between conditionals and conditional probability with a trivalent semantics, Journal of Applied Non-classical Logics, vol.24, pp.144-152, 2014.

D. H. Sanford, If P, then Q, 1989.

S. Schiffer, The things we mean, 2003.

S. G. Self and K. Liang, Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions, Journal of the American Statistical Association, vol.82, pp.605-610, 1987.

H. A. Simon, Models of bounded rationality, 1982.

H. Singmann and D. Kellen, MPTinR: Analysis of multinomial processing tree models in R, Behavior Research Methods, vol.45, pp.560-575, 2013.

H. Singmann, K. C. Klauer, and D. E. Over, New normative standards of conditional reasoning and the dual-source model, Frontiers in Psychology, vol.5, 1989.

N. Skovgaard-olsen, Ranking theory and conditional reasoning, Cognitive Science, vol.40, pp.848-880, 2016.

N. Skovgaard-olsen, Motivating the relevance approach to conditionals. Mind & Language, vol.31, pp.555-579, 2016.

N. Skovgaard-olsen, H. Singmann, and K. C. Klauer, The relevance effect and conditionals, Cognition, vol.150, pp.26-36, 2016.

W. Spohn, A ranking-theoretic approach to conditionals, Cognitive Science, vol.37, pp.1074-1106, 2013.

W. Spohn, Conditionals: A unifying ranking-theoretic perspective. Philosophers' Imprint, 15, 1-30. hdl.handle.net/2027/spo, 2015.

R. Stalnaker, A theory of conditionals, Studies in logical theory, pp.98-112, 1968.

R. Stalnaker, Indicative conditionals, Philosophia, vol.5, pp.269-286, 1975.

P. F. Strawson, On referring. Mind, vol.59, pp.320-344, 1950.

J. Van-wijnbergen-huitink, S. Elqayam, and D. E. Over, The probability of iterated conditionals, Cognitive Science, vol.39, pp.788-803, 2015.

M. Vidal and J. Baratgin, A psychological study of unconnected conditionals, Journal of Cognitive Psychology, vol.29, pp.769-781, 2017.

K. Weirich, Defending truth values for indicative conditionals, Philosophical Studies