# ReasonLines > Visual and numerical expansion of traditional syllogistic logic. (iPhone/iPad app by Wallace Murphree.) - Source: https://appshunter.io/ios/app/reasonlines/id1062323369 (this page in markdown: same URL + `.md`) - Developer: [Wallace Murphree](https://appshunter.io/developer/1192811330) - Category: Education - Price: $0.99 - Rating: 4.80/5 from 4 App Store ratings · 1 written reviews indexed - Age rating: 4+ - Requires: iOS 11.0 · 4 MB - Languages: American English - Released: 2017-01-06 - Data updated: 2026-06-10 - Monetization: paid - User reviews in markdown: https://appshunter.io/ios/app/reasonlines/id1062323369/reviews.md ## What is ReasonLines? ReasonLines provides (1) a new and easier approach to the traditional syllogism and (2) an expansion of the traditional syllogism to include numerical quantification. 1)The new approach to the traditional syllogism Instead of considering isolated statements as the components of arguments, such as major premise, minor premise, and conclusion, this new approach bundles each statement with its equivalents and each bundle is represented by its own “schematic” of arrows. The premise schematics can then be dropped in place along side each other where their juxtaposition displays whatever conclusion, if any, is entailed. The user only needs to learn how to select the correct premise schematics and how to follow the arrows for a conclusion.   Part One of the Help page is a tutorial for this new approach. (2)The numerical expansion of the traditional syllogism It is already standard to interpret the particular quantifier numerically; that is, it is standard to take “some” as “at least one.” Moreover, the universal quantifiers, “all” and “no,” can also be faithfully rendered numerically since “all” means “all with zero exception” and “no” means none “none with zero exception.” Given this, it turns out that the traditional quantifiers simply mark the beginnings of endless possible quantifications since “at least one” opens the series of “at least two,” “at least three,” etc., and “all (none) but zero” opens “all (none) but one,” “all (none) but two,” etc. By making this explicit, the zero and one of traditional syllogisms become replaceable by other numbers. So, for example, “All but 10 A are B and all but 20 B are C, so All but 30 A are C,” and “At least 100 A are B, All but 7 B are C, so At least 93 A are C,” are just as valid as the traditional Barbara and Darii, and for the very same reason.   Part Two of the Help page develops this numerical expansion by appealing to the schematics. ## Key features - New approach to traditional syllogism - Visual schematics for arguments - Numerical expansion of syllogisms - Interactive arrow-based conclusions - Tutorial for new logic methods ## Recent user reviews (1 of 1) All indexed reviews: https://appshunter.io/ios/app/reasonlines/id1062323369/reviews.md ### 5/5 — Under appreciated *2018-08-14* I cannot day enough about how important this app and its original book are to the study of Logic. ## Frequently asked questions about ReasonLines ### What is the new approach to syllogisms in ReasonLines? ReasonLines bundles statements with their equivalents into schematics represented by arrows. Users select premise schematics and follow arrows to display entailed conclusions, simplifying traditional argument structure. ### How does ReasonLines expand traditional syllogisms numerically? ReasonLines makes explicit the numerical interpretation of quantifiers like 'some,' 'all,' and 'no.' It allows for replacing traditional zero and one with other numbers, enabling more precise logical statements and calculations. ### Is ReasonLines suitable for beginners in logic? Yes, Part One of the Help page in ReasonLines provides a tutorial for its new approach to syllogisms, making it accessible for users new to formal logic. ### What devices does ReasonLines support? ReasonLines is available on iPhone, iPad, and iPod, making it accessible across a range of Apple mobile devices. ### How often is ReasonLines updated? The latest version of ReasonLines is 1.3, last updated on March 7, 2024. This indicates regular maintenance and potential feature additions. ### What is the age rating for ReasonLines? ReasonLines has an age rating of 4+, suggesting it is suitable for a wide audience, including younger learners interested in logic. ### Does ReasonLines have ads? No, ReasonLines does not contain advertisements, providing an uninterrupted learning experience for its users. ### What is the price of ReasonLines? ReasonLines is available for a one-time purchase of $0.99, offering an affordable entry into advanced logical reasoning tools. ## Version history (last 4 releases) ### 1.3 — 2024-03-07 Minor updates and bug fixes. ### 1.2 — 2020-10-15 Added support for 6.5" Displays. ### 1.1 — 2017-08-10 Updated help page Updated about page Updated user interface when removing card ### 1.0 — 2017-01-04 No release notes. --- *Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-10.*