Skip to main content

Imperative Logic: Indian and Western

  • Reference work entry
  • First Online:
Handbook of Logical Thought in India
  • 219 Accesses

Abstract

Statements having imperative intents are found in plenty in the context of formal argumentative discourses. Commands of any form are commonly accepted as expressing a “prescription” as distinct from “proposition,” though the possibility of their crossing over is not ruled out. The lingering question remains about the logical status of prescriptions as constituents of imperative arguments. Discussion of Vidhivākya (imperative) is extensively found in the Mīmāṁsā system and it has its pragmatic application in recent days in a very robust form.

Since twentieth century, imperative arguments are considered as more than a possibility in the West. Its early history starts with Aristotle’s practical syllogism, passes through the thoughts of the Stoics, Leibnitz, Hume, and finally has a primary line of development, i.e., becomes a formal logic for normatives in Ernst Mally’s Principle of Inheritance of Obligation. Logicians take different stands in explaining the inferential property of an argument involving commands at par with that property of an inference of classical propositional logic. The present chapter undertakes a survey of the logic of imperatives both from the Indian and the Western points of view.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 589.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 649.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  • Āpadeva. 1929. Mīmāṁsānyāyaprakāśa Ed. by Franklin Edgerton, New Haven: Yale University Press.

    Google Scholar 

  • Aristotle. 1901. Posterior Analytics. trans. E.S. Bouchier, Oxford: Blackwell.

    Google Scholar 

  • Aristotle. 1962 reprint. The Nicomachean ethics. Great Britain: Harvard University Press.

    Google Scholar 

  • Aristotle. 1989. Prior Analytics, Robin Smith (Trans.& Introd.). Indianapolis, Cambridge: Hackett Publishing Company.

    Google Scholar 

  • Austin, J.L. 1961. In Philosophical papers, ed. J.O. Urmson and G.J. Warnock. Oxford: Clarendon Press.

    Google Scholar 

  • Austin, J.L. 1962. How To do things with words. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Ayer, A.J., ed. 1960. Logical positivism. Glencoe: The Free Press.

    Google Scholar 

  • Ayer, A.J. 1961. Truth and logic, 107–108. New York: Dover Publication Inc.

    Google Scholar 

  • Barnes, Jonathan. 2012. The logical investigations of chryssipus. In Logical matters: Essays in ancient philosophy II, ed. Maddalena Bonelli. Oxford: Clarendon Press.

    Google Scholar 

  • Beardsley, E.L. 1944. Imperative sentences in relation to Indicatives. Philosophical Review 53 (2): 175–185.

    Article  Google Scholar 

  • Bhartrihari, Vākyapadīya (Vākyakāṇda). 1968. Punyaraj (commentary). Benaras: Benaras Sanskrit University.

    Google Scholar 

  • Bhatta, V.P. 1994. Maṇḍana Miśra’s distinction of the activity: Bhāvanāviveka (with Introduction, English Translation with Notes, and Sanskrit Text), Delhi: Eastern Book Linkers.

    Google Scholar 

  • Bhattacharyya, Janaki Vallabha. 1978. Jayanta Bhațța’s Nyāyamañjari. The Compendium of Indian Speculative Logic. Delhi: Motilal Banarsidass.

    Google Scholar 

  • Carnap, Rudolf. 1935. Philosophy and logical syntax. London: Kegan Paul, Trench, Trubner & Co.

    Google Scholar 

  • Carnap, Rudolf. 1960. The elimination of metaphysics through logical analysis of language. In Logical positivism, ed. A.J. Ayer, 63–64. Glencoe: The Free Press.

    Google Scholar 

  • Castañeda, Hector-Neri. 1957. Un Sistema General de in Logica Normativa. Dianoia(Mexico), Vol-2. (In Moutafakis, Nicholas J. (1975), Imperatives and Their Logics, New Delhi, Sterling).

    Google Scholar 

  • Castañeda, Hector-Neri. 1970. Review of Rescher 1966. The Philosophical Review 79: 439–446.

    Google Scholar 

  • Castañeda, Hector-Neri. 1955. A note on imperative logic. Philosophical Studies 6 (1): 1–4.

    Google Scholar 

  • Chakrabarti, Arindam. 1989. Sentence-holism, context-principle and connected-designation anvitābhidhāna: Three doctrines or one? Journal of Indian Philosophy XVII: 37–41.

    Google Scholar 

  • Charlow, N. 2014. Logic and semantics for imperatives. Journal of Philosophical Logic 43 (4): 617–664.

    Article  Google Scholar 

  • Chatterjee, K.N. 1980. Vidhi and its meaning. Proceedings of the Winter Institute on Ancient Indian Theories on Sentence-Meaning, Ed. By S. D. Joshi. Publications of the Centre of Advanced Study in Sanskrit, Pune, p. 143–148.

    Google Scholar 

  • Ciabattoni, A., E. Freschi, F.A. Genco, and B. Lellmann. 2015. Mīmāṁsā deontic Logic: proof-theory and applications. In Automated Reasoning with analytic tableaux and related methods, 323–338. Berlin: Springer.

    Chapter  Google Scholar 

  • Cohen, P.R., and H.J. Levesque. 1990. Intention is choice with commitment. Artificial Intelligence 42: 213–261.

    Article  Google Scholar 

  • Fischer, M.J., and R.E. Ladner. 1979. Propositional dynamic logic of regular programs. Journal of Computer Systematic Science 18 (2): 194–211.

    Google Scholar 

  • Follesdal, Dagfinn and Risto Hilpinen. 1981. Deontic logic: An introduction. Deontic logic : Introductory and systematic readings, Ed. By Risto Hilpinen, Synthese Library 33, Dordrecht, Boston, London: D. Reidel, p. 1–35.

    Google Scholar 

  • Fox, Chris. 2008. Imperatives: A logic of satisfaction. University of Essex, England.

    Google Scholar 

  • Fox, Chris. 2012. Imperatives: A judgemental analysis. Studia Logica 100 (4): 879–905.

    Article  Google Scholar 

  • Freschi, Elisa. 2012. Duty, language and exegesis in Prābhākara Mīmāṁsā, Jerusalem studies in religion and culture. Leiden, Boston: Brill.

    Book  Google Scholar 

  • Geach, P.T. 1958. Imperative and deontic logic. Analysis 18 (3): 49–56.

    Article  Google Scholar 

  • Grelling, Kurt. 1939. Zur Logik der Sollsatze. Unity of Science Forum, p. 44–47 (also in Moutafakis, Nicholas J.(1975) Imperatives and their Logics, New Delhi, Sterling, p. 36.

    Google Scholar 

  • Hamlin, H.L. 1987. Imperatives, 18. Great Britain: Basil Blackwell.

    Google Scholar 

  • Hansen, J. 2008. Is there a logic of imperatives?. Deontic logic in computer science, Twentieth Europeon summer school in logic, language and information, Germany.

    Google Scholar 

  • Hansen, J. 2014. Be nice ! how simple imperatives simplify imperative logic. Journal of Philosophical Logic 43 (5): 965–977.

    Article  Google Scholar 

  • Hare, R.M. 1952. The language of morals. Great Britain: Oxford University Press.

    Google Scholar 

  • Hare, R.M. 1971. Practical Inferences. London: Macmillan.

    Google Scholar 

  • Harrison, Jonathan. 1991. Deontic and imperative logic. In Logic and ethics, ed. P.T. Geach. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Hintikka, Jaakko. 1981. Some main problems of deontic logic. Deontic logic: Introductory and systematic readings, Ed. By Risto Hilpinen, Synthese library 33, Dordrecht, Boston, London: D. Reidel, p. 59–104.

    Google Scholar 

  • Hofstadter, A., and J. McKinsey. 1939. On the logic of imperatives. Philosophy in Science 6 (4): 446–457.

    Article  Google Scholar 

  • Jayanta Bhațța. 2008. Nyāyamañjarī, 5th Ahnika, Sen, Prabal Kumar (Trans.), Kolkata: Sanskrit Book Depot.

    Google Scholar 

  • Jayanta Bhațța. 1895. The Nyāyamañjarī of Jayanta Bhațța ed. by Gangādhara Śāstrī Tailaǹga. Vizianagaram Sanskrit Series 10. Benares: E.J. Lazarus and Co.

    Google Scholar 

  • Jhā, Gaṅgānātha ed. 1933–1934–1936. Śabara-bhāṣya, trans. Into English, Index by Umesha Misra, Gaekwad’s Oriental Series 66, Baroda: Oriental Institute.

    Google Scholar 

  • Jorgen, Jorgensen. 1938. Imperatives and logic. Erkenntnis 7: 290.

    Google Scholar 

  • Kenny, A.J. 1966. Practical inference. Analysis 26 (3): 65–75.

    Article  Google Scholar 

  • Mally, Ernst. 1926. Grundgesetze des Sollens, Elemente der Logik des Sollens, 229–324. Graz: Leuschner-Lubensky.

    Google Scholar 

  • Mates, Benson. 1953. Stoic logic, 19. Berkeley: University of California Press.

    Google Scholar 

  • Motilal, Bimal Krishna. 1986. Perception: An essay on classical Indian theories of knowledge. Oxford: Clarendon Press.

    Google Scholar 

  • Motilal, Bimal Krishna, and P.K. Sen. 1988. The context principle and Some Indian controversies over meaning. Mind 97 (385): 73–97.

    Article  Google Scholar 

  • Menger, Karl. 1939). A logic of the doubtful on optative and imperative logic Reports of a Mathematical Colloquium 2 Notre Dame University, Indiana University Press, Notre Dame pp 53–gercll.

    Google Scholar 

  • Miśra, Śālikanātha. 1904. Prakaraṇapañcikā, Ed. By Śāstrī, Mukuṇḍa, Chowkhamba Sanskrit Series, Benares.

    Google Scholar 

  • Miśra, Maṇḍana. 1922–23. Bhāvanāviveka Ed. By Gaṅgānātha Jhā and Gopinātha Kabirāj. The Princess of Wales Saraswati Bhavana Texts 6. Second volume ed. By G. Jhā, Madras: Kuppuswami Sastri Research Institute.

    Google Scholar 

  • Miśra, Maṇḍana, and Vācaspati Miśra. 1907. Vidhiviveka and Vācaspati Miśra’s commentary (Nyāyakaṇikā) Ed. By Rāma Śāstrī Tailaṅga. Pandit New Series, Benares.

    Google Scholar 

  • Mohanty, Jitendranath. 1966. Gangeśa’s theory of truth. Visva-Bharati: Centre of Advanced Study in Philosophy.

    Google Scholar 

  • Monier-Williams, Monier. 1993. A Sanskrit-English dictionary. Etymologically and philologically arranged with special reference to Cognate Indo-European languages. New Edition, Reprint of the 1899 edition. New Delhi: Motilal Banarsidass.

    Google Scholar 

  • Pandurangi, K.T. 2006. “Purvamīmāṁsā from an interdisciplinary point of view”, History of science, philosophy and culture in indian civilization, II, 6, Motilal Banarsidass, Jawahar Nagar, Delhi.

    Google Scholar 

  • Parsons, Josh. 2013. Command and consequence. Philosophical Studies 164: 61–92. Springer.

    Article  Google Scholar 

  • Patañjali. 2006. Vyākaraņa Mahābhāṣya Pośpośāhnik, Part-I (with Kaiyata’s Pradīpa and Bhațțoji Dīksita’s Śabdakaustūbha and Nāgojibhațța’s Uddyota, Ed. G. P. Shastri, Vol-1, New Delhi: Rashtriya Sanskrit Sangsthan.

    Google Scholar 

  • Perez-Ramirez, Miguel. 2003. Fox Chris “imperatives as obligatory and permitted actions”. In Proceedings of the fourth international conference on intelligent text processing and computational linguistics, ed. Alexander F. Gelbukh, 52–64. Mexico City: Springer.

    Chapter  Google Scholar 

  • Portner, Paul. 2007. Imperatives and modals. Natural Language Semantics 15: 351–383. Springer Verlag.

    Article  Google Scholar 

  • Portner, Paul. 2016. Imperatives. In Cambridge handbook of formal semantics, ed. M. Aloni and E. Dekker. Cambridge, UK: Cambridge University Press.

    Google Scholar 

  • Potter, Karl H., ed. 1995. Encyclopedia of indian philosophies. Vol. 1. Delhi: Motolal Banarsidass.

    Google Scholar 

  • Pratt, V. R. 1976. Semantical considerations on Floyd hoare logic. Proceedings of the 17th symposium on foundations of computer science. IEEE, p. 109–121.

    Google Scholar 

  • Rāmānujācārya. 1956. Tantrarahasya: A Primer of Prābhākara Mīmāṁsā, K.S. Rāmaswami Śāstri Śiromaņi (ed.), Baroda: Oriental Institute.

    Google Scholar 

  • Rāmasvāmīśastrī, V.A. 1951. The Mīmāṁsaka Conception of Bhābanā. Vāk 1: 80–87.

    Google Scholar 

  • Reach, Karl. 1940. Some comments on Grelling’s paper “Zur Logik der Sollsatze”. Journal of Symbolic Logic 5: 39.

    Article  Google Scholar 

  • Rescher, N., and John Robinson. 1964. Can one infer commands from commands? Analysis 24: 176–179.

    Google Scholar 

  • Rescher, Nicholas. 1966. The Logic of Commands. Dover Publication. New: York.

    Google Scholar 

  • Ross, Alf. 1941. Imperative and logic. Theoria 7: 53–71.

    Google Scholar 

  • Śabarasvami, Śābarabhāṣya. 1976. Jaimini Mīmāṁsāsūtra. Pune: Anandashram Sanskaran.

    Google Scholar 

  • Sanyal, Manidipa. 2019. Dance if it rains. Philosophy Study, October issue, Wilmington, USA.

    Google Scholar 

  • Sanyal, Manidipa, and Basu, Debirupa. 2019. Attack at Dawn if the Weather is Fine–talk delivered at Prague in the International Seminar on Logic, Methodology, Philosophy of Science and Technology (CLMPST), Czech Institute of Technology, Czech Republic.

    Google Scholar 

  • Searle, J.R. 1971. What is a speech act? In The philosophy of language, ed. J.R. Searle. London: Oxford University Press.

    Google Scholar 

  • Sharma, Rajendra Nath, Ed. 1987. The Vākyārthamātŗkā of Śālikanātha Miśŗa with his own vŗtti (English translation), Delhi: Sri Satguru.

    Google Scholar 

  • Srinivasan, Bama, and Ranjani Parthasarathi. 2012. A formalism for action representation inspired by Mīmāṁā. Journal of Intelligent Systems 21 (1): 45–77.

    Article  Google Scholar 

  • Srinivasan, Bama, and Ranjani Parthasarathi. 2013. An intelligent task analysis approach for special education based on MIRA. Journal of Applied Logic 11 (1): 137–145.

    Article  Google Scholar 

  • Srinivasan, Bama, and Ranjani Parthasarathi. 2014. Scan enabled applications for persons with mobility impairment (SABARI), IEEE Region 10 humanitarian technology conference (R10HTC), p. 105–110.

    Google Scholar 

  • Srinivasan, Bama, and Ranjani Parthasarathi. 2017a. A survey of imperatives and action representation formalisms. Artificial Intelligence Review 48: 263–297.

    Article  Google Scholar 

  • Srinivasan, Bama, and Ranjani Parthasarathi. 2017b. Action representation for robots using MIRA. 2nd international conference on knowledge engineering and applications.

    Google Scholar 

  • Stevenson, C.L. 1960. The emotive meaning of ethical terms. In Logical positivism, ed. A.J. Ayer. Glencoe: The Free Press.

    Google Scholar 

  • Udayana. 1957. Nyāyakusumāñjali. Ed. By Padmaprasāda Upādhāya and Dhuṇḍirāja Śāstrī. Chowkhamba Sanskrit Series 30, Varanasi.

    Google Scholar 

  • van Benthem, J., H. van Ditmarsch, J. van Eijck, and J. Jaspars. 2012. Logic in action. http://www.logicinaction.org/docs/lia.pdf

  • von Wright, George H. 1971. A new system of deontic logic. In Deontic logic: Introductory and systematic readings, Synthese Library 33, ed. Risto Hilpinen, 105–120. Dordrecht, Boston, London: D. Reidel.

    Google Scholar 

  • Vranas, Peter B.M. 2008. New foundations for imperative logic I: Logical connectives, consistency and quantifiers. Noûs 42: 529–572.

    Article  Google Scholar 

  • Vranas, Peter B.M. 2010. In defense of imperative inference. Journal of Philosophical Logic 39: 59–71.

    Article  Google Scholar 

  • Vranas, Peter B.M. 2011. New foundations for imperative logic: Pure imperative inference. Mind 120: 369–446.

    Article  Google Scholar 

  • Vranas, Peter B.M. 2016. New foundations for imperative logic III: A general definition of argument validity. Synthese 193 (6): 1703–1753. Springer.

    Article  Google Scholar 

  • Wedeking, Gary A. 1970. Are there command arguments? Analysis 30: 161–166.

    Google Scholar 

  • Williams, Bernard A.O. 1963. Imperative inference. Analysis 23: 30–36.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Manidipa Sanyal .

Editor information

Editors and Affiliations

Section Editor information

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature India Private Limited

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Sanyal, M. (2022). Imperative Logic: Indian and Western. In: Sarukkai, S., Chakraborty, M.K. (eds) Handbook of Logical Thought in India. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2577-5_52

Download citation

Publish with us

Policies and ethics