Lakoff began his career as a student and later a teacher of the theory of transformational grammar developed by Massachusetts Institute of Technology professor Noam Chomsky. In the late 1960s, however, he joined with others to promote generative semantics as an alternative to Chomsky's generative syntax. In an interview he stated:

Lakoff's claim that Chomsky claims independence between syntax and semantics has been rejected by Chomsky, who has given examples from within his work where he talks about the relationship between his semantics and syntax. Chomsky goes further and claims that Lakoff has "virtually no comprehension of the work he is discussing" (the work in question being Chomsky's) . His differences with Chomsky contributed to fierce, acrimonious debates among linguists that have come to be known as the "linguistics wars".

Lakoff's original thesis on conceptual metaphor was expressed in his book with Mark Johnson entitled Metaphors We Live By in 1980.

Metaphor has been seen within the Western scientific tradition as purely a linguistic construction. The essential thrust of Lakoff's work has been the argument that metaphors are primarily a conceptual construction, and indeed are central to the development of thought. He says, "Our ordinary conceptual system, in terms of which we both think and act, is fundamentally metaphorical in nature." Non-metaphorical thought is for Lakoff only possible when we talk about purely physical reality. For Lakoff the greater the level of abstraction the more layers of metaphor are required to express it. People do not notice these metaphors for various reasons. One reason is that some metaphors become 'dead' and we no longer recognize their origin. Another reason is that we just don't "see" what is "going on".

For instance, in intellectual debate the underlying metaphor is usually that argument is war (later revised as "argument is struggle"):

• He won the argument.
• Your claims are indefensible.
• He shot down all my arguments.
• His criticisms were right on target.
• If you use that strategy, he'll wipe you out.

For Lakoff, the development of thought has been the process of developing better metaphors. The application of one domain of knowledge to another domain of knowledge offers new perceptions and understandings.

Lakoff's theory has applications throughout all academic disciplines and much of human social interaction. Lakoff has explored some of the implications of the embodied mind thesis in a number of books, most written with coauthors.

When Lakoff claims the mind is "embodied", he is arguing that almost all of human cognition, up through the most abstract reasoning, depends on and makes use of such concrete and "low-level" facilities as the sensorimotor system and the emotions. Therefore embodiment is a rejection not only of dualism vis-a-vis mind and matter, but also of claims that human reason can be basically understood without reference to the underlying "implementation details".

Lakoff offers three complementary but distinct sorts of arguments in favor of embodiment. First, using evidence from neuroscience and neural network simulations, he argues that certain concepts, such as color and spatial relation concepts (e.g. "red" or "over"; see also qualia), can be almost entirely understood through the examination of how processes of perception or motor control work.

Second, based on cognitive linguistics' analysis of figurative language, he argues that the reasoning we use for such abstract topics as warfare, economics, or morality is somehow rooted in the reasoning we use for such mundane topics as spatial relationships. (See conceptual metaphor.)

Finally, based on research in cognitive psychology and some investigations in the philosophy of language, he argues that very few of the categories used by humans are actually of the black-and-white type amenable to analysis in terms of necessary and sufficient conditions. On the contrary, most categories are supposed to be much more complicated and messy, just like our bodies.

"We are neural beings," Lakoff states, "Our brains take their input from the rest of our bodies. What our bodies are like and how they function in the world thus structures the very concepts we can use to think. We cannot think just anything ... only what our embodied brains permit."

Many scientists share the belief that there are problems with falsifiability and foundation ontologies purporting to describe "what exists", to a sufficient degree of rigor to establish a reasonable method of empirical validation. But Lakoff takes this further to explain why hypotheses built with complex metaphors cannot be directly falsified. Instead, they can only be rejected based on interpretations of empirical observations guided by other complex metaphors. This is what he means when he says, in "The Embodied Mind", that falsifiability itself can never be established by any reasonable method that would not rely ultimately on a shared human bias. The bias he's referring to is the set of conceptual metaphors governing how people interpret observations.

Lakoff is, with coauthors Mark Johnson and Rafael E. Núñez, one of the primary proponents of the embodied mind thesis. Others who have written about the embodied mind include philosopher Andy Clark (See his Being There), philosopher and neurobiologists Humberto Maturana and Francisco Varela and his student Evan Thompson (See Varela, Thompson & Rosch's "The Embodied Mind"), roboticists such as Rodney Brooks, Rolf Pfeifer and Tom Ziemke, the physicist David Bohm (see his Thought As A System), Ray Gibbs (see his "Embodiment and Cognitive Science"), John Grinder and Richard Bandler in their neuro-linguistic programming, and Julian Jaynes. All of these writers can be traced back to earlier philosophical writings, most notably in the phenomenological tradition, such as Maurice Merleau-Ponty and Heidegger.

Mathematics

According to Lakoff, even mathematics itself is subjective to the human species and its cultures: thus "any question of math's being inherent in physical reality is moot, since there is no way to know whether or not it is." By this, he is saying that there is nothing outside of the thought structures we derive from our embodied minds that we can use to "prove" that mathematics is somehow beyond biology. Lakoff and Rafael E. Núñez (2000) argue at length that mathematical and philosophical ideas are best understood in light of the embodied mind. The philosophy of mathematics ought therefore to look to the current scientific understanding of the human body as a foundation ontology, and abandon self-referential attempts to ground the operational components of mathematics in anything other than "meat".

Mathematical reviewers have generally been critical of Lakoff and Núñez, pointing to mathematical errors. (Lakoff claims that these errors have been corrected in subsequent printings.) Their book has yet to elicit much of a reaction from philosophers of mathematics, although the book can be read as making strong claims about how that philosophy should proceed. The small community specializing in the psychology of mathematical learning, to which Núñez belongs, is paying attention.

Lakoff has also claimed that we should remain agnostic about whether math is somehow wrapped up with the very nature of the universe. Early in 2001 Lakoff told the American Association for the Advancement of Science (AAAS): "Mathematics may or may not be out there in the world, but there's no way that we scientifically could possibly tell." This is because the structures of scientific knowledge are not "out there" but rather in our brains, based on the details of our anatomy. Therefore, we cannot "tell" that mathematics is "out there" without relying on conceptual metaphors rooted in our biology. This claim bothers those who believe that there really is a way we could "tell". The falsifiability of this claim is perhaps the central problem in the cognitive science of mathematics, a field that attempts to establish a foundation ontology based on the human cognitive and scientific process.

Lakoff's application of cognitive linguistics to politics, literature, philosophy and mathematics has led him into territory normally considered basic to political science.

Lakoff has publicly expressed both ideas about the conceptual structures that he views as central to understanding the political process, and some of his particular political views. He almost always discusses the latter in terms of the former.

Moral Politics (1996, revisited in 2001) gives book-length consideration to the conceptual metaphors that Lakoff sees as present in the minds of American "liberals" and "conservatives". The book is a blend of cognitive science and political analysis. Lakoff makes an attempt to keep his personal views confined to the last third of the book, where he explicitly argues for the superiority of the liberal vision.

Lakoff argues that the differences in opinions between liberals and conservatives follow from the fact that they subscribe with different strength to two different metaphors about the relationship of the state to its citizens. Both, he claims, see governance through metaphors of the family. Conservatives would subscribe more strongly and more often to a model that he calls the "strict father model" and has a family structured around a strong, dominant "father" (government), and assumes that the "children" (citizens) need to be disciplined to be made into responsible "adults" (morality, self-financing). Once the "children" are "adults", though, the "father" should not interfere with their lives: the government should stay out of the business of those in society who have proved their responsibility. In contrast, Lakoff argues that liberals place more support in a model of the family, which he calls the "nurturant parent model", based on "nurturant values", where both "mothers" and "fathers" work to keep the essentially good "children" away from "corrupting influences" (pollution, social injustice, poverty, etc.). Lakoff says that most people have a blend of both metaphors applied at different times, and that political speech works primarily by invoking these metaphors and urging the subscription of one over the other.

Lakoff further argues that one of the reasons liberals have had difficulty since the 1980s is that they have not been as aware of their own guiding metaphors, and have too often accepted conservative terminology framed in a way to promote the strict father metaphor. Lakoff insists that liberals must cease using terms like partial birth abortion and tax relief because they are manufactured specifically to allow the possibilities of only certain types of opinions. Tax relief for example, implies explicitly that taxes are an affliction, something someone would want "relief" from. To use the terms of another metaphoric worldview, Lakoff insists, is to unconsciously support it. Liberals must support linguistic think tanks in the same way that conservatives do if they are going to succeed in appealing to those in the country who share their metaphors.

Lakoff has distributed some much briefer political analyses via the Internet. One article distributed this way is "Metaphor and War: The Metaphor System Used to Justify War in the Gulf", in which Lakoff argues that the particular conceptual metaphors used by the first Bush administration to justify American involvement in the Gulf ended up either obscuring reality, or putting a spin on the facts that was accommodating to the administration's case for military action.

Between 2003 and 2008, Lakoff was involved with a progressive think tank, the Rockridge Institute, an involvement that follows in part from his recommendations in Moral Politics. Among his activities with the Institute, which concentrates in part on helping liberal candidates and politicians with re-framing political metaphors, Lakoff has given numerous public lectures and written accounts of his message from Moral Politics. In 2008, Lakoff joined Fenton Communications, the nation's largest public interest communications firm, as a Senior Consultant.

One of his political works, Don't Think of an Elephant! Know Your Values and Frame the Debate, self-labeled as "the Essential Guide for Progressives", was published in September 2004 and features a foreword by former Democratic presidential candidate Howard Dean.

In 2006 Steven Pinker wrote an unfavourable review of Lakoff's book Whose Freedom? The Battle over America's Most Important Idea. Pinker's review was published in The New Republic. Pinker argued that Lakoff's propositions are unsupported and his prescriptions a recipe for electoral failure. He wrote that Lakoff was condescending and deplored Lakoff's "shameless caricaturing of beliefs" and his "faith in the power of euphemism". Pinker portrayed Lakoff's arguments as "cognitive relativism, in which mathematics, science, and philosophy are beauty contests between rival frames rather than attempts to characterize the nature of reality". Lakoff wrote a rebuttal to the review stating that his position on many matters is the exact reverse of what Pinker attributes to him. Lakoff explicitly rejected, for example, the cognitive relativism and faith in euphemism described above.

Geoffrey Nunberg, linguist, UC Berkeley professor and author of Talking Right, weighed in on Lakoff vs Pinker in a post on The New Republic's web site.

• 1987. What Categories Reveal About the Mind University of Chicago Press. ISBN 0-226-46804-6.
• 1989 with Mark Turner. More Than Cool Reason: A Field Guide to Poetic Metaphor. University of Chicago Press. ISBN 978-0226468129
• 1996. What Conservatives Know that Liberals Don't, University of Chicago Press. ISBN 978-0226468051
• 2001 Edition. Moral Politics: How Liberals and Conservatives Think, University of Chicago Press. ISBN 978-0226467719
• 1999 (with Mark Johnson). Philosophy In The Flesh: the Embodied Mind and its Challenge to Western Thought. Basic Books.
• 2000 (with Rafael Núñez). How the Embodied Mind Brings Mathematics into Being. Basic Books. ISBN 0-465-03771-2.
• 2003 (1980) with Mark Johnson. Metaphors We Live By. University of Chicago Press. 2003 edition contains an 'Afterword'. ISBN 978-0226468006
• 2004. Don't Think of an Elephant: Know Your Values and Frame the Debate. Chelsea Green Publishing. ISBN 978-1931498715
• 2005, "A Cognitive Scientist Looks at Daubert", American Journal of Public Health. 95, no. 1: S114.
• 2006. Whose Freedom? : The Battle over America's Most Important Idea. Farrar, Straus and Giroux. ISBN 978-0-374-15828-6
• 2008. The Political Mind : Why You Can't Understand 21st-Century American Politics with an 18th-Century Brain, ISBN 978-0670019274

Videos

• How Democrats and Progressives Can Win: Solutions from George Lakoff DVD format.
• C-Span program online, The Political Mind: Why You Can't Understand 21st-Century American Politics with an 18th Century Brain