The album features production by Logic, executive producer 6ix, Stefan Ponce, Sir Dylan, Syk Sense, Oz, and DJ Dahi.

By 2023, Japan and the United States merge to create a super-nation to combat famine, depleted resources and the increasing extinction in animals caused by the amplification of pollution.

As the leaders in world science, the conjoined nations are able to create genetically engineered meat that is enhanced and grown in an unconscious state, which is then slaughtered for consumption.

Dubbing the new city "Babel", they worked to purify the Earth's oceans, hoping to eradicate the issues that had arisen from the nuclear attacks.

It is later revealed that the genetically engineered meat previously created by the conjoined nation, reacted to form an inharmonious solution with the purified water.

By 2065, the residents work to create the Babel Space Station, which holds the 5 million remaining inhabitants, and left Earth in search of a similar planet.

Upon opening the signal, it details Christopher Smith, a pilot from Aquarius I, in his final hours, warning future travelers to suspend their journey and to return to where it was they came.

[1] The Incredible True Story was noted for its "improvement in production" and its emphasis to be "aesthetically pleasing [in terms of the music]" in distinction to Logic's previous works.

[2] Martín Caballero of The Boston Globe calls the album a success due to the way it was able to portray itself as "polished and appealing" material, in comparison to the "overeager and overproduced nature" prevalent in his previous releases.

Insanul Ahmed of Complex outlined the album's sound calling the music "some of the happiest [Logic's] ever made, but there are dark undertones to songs like "Fade Away" and "City of Stars", which [mesh] together to create something special.

[13] David Jeffries of AllMusic said, "This is the album where it all changed, as the one they call Young Sinatra comes into his own and proves his nearly perfect debut was no isolated fluke.

"[14] Martín Caballero of The Boston Globe said, "With the creative confidence to go with his considerable skills and heart, Logic crafts some polished and appealing material....

"[3] Julian Kimble of Pitchfork said "The Incredible True Story is a pleasant voyage to Paradise orchestrated by an artist who's earned the approval of legends from Rick Rubin to Big Daddy Kane.

"[16] Clara Wang of RapReviews said, "There's enough variation in energy and production to keep the listener engaged throughout, and several times there are sudden drops into another beat entirely in the middle of a song.

"[19] The Incredible True Story debuted at number three on the US Billboard 200 chart, earning 135,000 album-equivalent units, (including 118,000 copies as pure album sales) in its first week.