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Mozilla Firefox is a free and open-source web browser developed for Windows, OS X, and Linux, with a mobile version for Android.
SpecsUpdate
Pros
Pro Strong HTML5 feature support
Firefox scores strongly on HTML5 feature support
Though not as strongly as Chromium/Chrome browsers do.
Pro Uses less resources
Firefox 57 (Quantum) and newer uses less resources than ever. It is proven with benchmark done by AppleInsider.
Pro Android version allows installation of addons
Unlike other browsers, Mozilla uses almost the same codebase as with the desktop version so extensions work as-is without code modifications - something other browsers cannot do due to their breaking and sometimes unrelated code branches to the mainline desktop branch.
Pro Ethical and pragmatic company mission
The Mozilla Manifesto outlines the company's mission and principles. Paraphrasing, they want the Internet to be a free and open resource, and to enable individuals to get the best use of that resource. They do this by creating open source software to which anyone may contribute, so long as such contributions fit with their principles (both ethical and technical).
Cons
Con Auto-advertising
Their pocket icon is on the toolbar, like an extension but... you can't remove it! The only thing you could do is remove it from the toolbar.
When taking their 'tour' they ask for it to become the default browser, also they mention the Firefox on mobile.
After updating it and when opening it the first web page is an 'ad' for their Pocket.
Con GTK Themes styles the HTML forms
If you're in Linux and you use a dark GTK theme that uses white text and come to a webpage that forces black text on html-forms buttons you will get black buttons with unreadable black text.
Recommendations
Comments
Flagged Pros + Cons
Pro Open Source
Open Source means that you can see the source code. So everybody even if they don't work for Mozilla is able to look what the browser does in the background. So you can be 100% sure that Firefox doesn't have hidden "spy features" unlike Google Chrome.
Con Some built-in advertising
With their new "pocket" feature, they offer advertisements built-in.